Linear.Quaternion:$csinh from linear-1.19.1.3

Time bar (total: 9.5s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze18.0ms (0.2%)

Memory
-30.1MiB live, 52.8MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
50%50%50%0.1%0%0%0%3
50%50%50%0.1%0%0%0%4
75%74.9%25%0.1%0%0%0%5
75%74.9%25%0.1%0%0%0%6
87.5%87.4%12.5%0.1%0%0%0%7
87.5%87.4%12.5%0.1%0%0%0%8
93.8%93.7%6.2%0.1%0%0%0%9
93.8%93.7%6.2%0.1%0%0%0%10
96.9%96.8%3.1%0.1%0%0%0%11
96.9%96.8%3.1%0.1%0%0%0%12
Compiler

Compiled 9 to 8 computations (11.1% saved)

sample1.3s (13.7%)

Memory
41.3MiB live, 1 228.1MiB allocated
Samples
920.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 623.0ms
ival-sin: 248.0ms (39.8% of total)
ival-cosh: 202.0ms (32.4% of total)
ival-mult: 83.0ms (13.3% of total)
ival-div: 80.0ms (12.8% of total)
ival-true: 7.0ms (1.1% of total)
ival-assert: 3.0ms (0.5% of total)
Bogosity

explain130.0ms (1.4%)

Memory
-22.6MiB live, 105.2MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(sin.f64 y)
00-0-y
00-0-(/.f64 (sin.f64 y) y)
00-0-(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
00-0-(cosh.f64 x)
00-0-x
Confusion
Predicted +Predicted -
+00
-0256
Precision
0/0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-00256
Precision?
0/0
Recall?
0/0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-001
Precision?
0/0
Recall?
0/0
Samples
84.0ms512×0valid
Compiler

Compiled 62 to 28 computations (54.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 25.0ms
ival-sin: 12.0ms (48.9% of total)
ival-cosh: 5.0ms (20.4% of total)
ival-div: 4.0ms (16.3% of total)
ival-mult: 3.0ms (12.2% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess121.0ms (1.3%)

Memory
17.4MiB live, 54.0MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01841
16137
218637
349037
4160037
5331537
6480337
7579037
8616437
9625737
10628137
11759937
067
0107
1197
2347
3607
4967
51367
62087
73547
87137
97867
108297
118297
08297
Stop Event
iter limit
saturated
iter limit
node limit
Calls
Call 1
Inputs
(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
Outputs
(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
(*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y))
Symmetry

(abs y)

(abs x)

Compiler

Compiled 7 to 6 computations (14.3% saved)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.9%
(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify38.0ms (0.4%)

Memory
-15.9MiB live, 21.2MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(sin.f64 y)
cost-diff0
(/.f64 (sin.f64 y) y)
cost-diff0
(cosh.f64 x)
cost-diff0
(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0617
01017
11917
23417
36017
49617
513617
620817
735417
871317
978617
1082917
1182917
082917
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
(cosh.f64 x)
x
(/.f64 (sin.f64 y) y)
(sin.f64 y)
y
Outputs
(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
(*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y))
(cosh.f64 x)
x
(/.f64 (sin.f64 y) y)
(sin.f64 y)
y

localize60.0ms (0.6%)

Memory
-13.8MiB live, 31.8MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0
(sin.f64 y)
accuracy0.00390625
(cosh.f64 x)
accuracy0.0078125
(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
accuracy0.10546875
(/.f64 (sin.f64 y) y)
Samples
19.0ms256×0valid
Compiler

Compiled 36 to 14 computations (61.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-sin: 6.0ms (50.1% of total)
ival-cosh: 3.0ms (25.1% of total)
ival-div: 2.0ms (16.7% of total)
ival-mult: 2.0ms (16.7% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series13.0ms (0.1%)

Memory
4.8MiB live, 4.8MiB allocated
Counts
4 → 60
Calls
Call 1
Inputs
#s(alt (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) (patch (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #<representation binary64>) () ())
#s(alt (cosh.f64 x) (patch (cosh.f64 x) #<representation binary64>) () ())
#s(alt (/.f64 (sin.f64 y) y) (patch (/.f64 (sin.f64 y) y) #<representation binary64>) () ())
#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())
Outputs
#s(alt (* 1/2 (+ (exp x) (/ 1 (exp x)))) (taylor 0 y) (#s(alt (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) (patch (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/12 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/2 (+ (exp x) (/ 1 (exp x))))) (taylor 0 y) (#s(alt (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) (patch (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* 1/240 (* (pow y 2) (+ (exp x) (/ 1 (exp x)))))))) (taylor 0 y) (#s(alt (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) (patch (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/10080 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/240 (+ (exp x) (/ 1 (exp x))))))))) (taylor 0 y) (#s(alt (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) (patch (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 y) (#s(alt (/.f64 (sin.f64 y) y) (patch (/.f64 (sin.f64 y) y) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1/6 (pow y 2))) (taylor 0 y) (#s(alt (/.f64 (sin.f64 y) y) (patch (/.f64 (sin.f64 y) y) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) (taylor 0 y) (#s(alt (/.f64 (sin.f64 y) y) (patch (/.f64 (sin.f64 y) y) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) (taylor 0 y) (#s(alt (/.f64 (sin.f64 y) y) (patch (/.f64 (sin.f64 y) y) #<representation binary64>) () ())) ())
#s(alt y (taylor 0 y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (* -1/6 (pow y 2)))) (taylor 0 y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) (taylor 0 y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) (taylor 0 y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) (taylor inf y) (#s(alt (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) (patch (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) (taylor inf y) (#s(alt (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) (patch (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) (taylor inf y) (#s(alt (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) (patch (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) (taylor inf y) (#s(alt (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) (patch (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt (/ (sin y) y) (taylor inf y) (#s(alt (/.f64 (sin.f64 y) y) (patch (/.f64 (sin.f64 y) y) #<representation binary64>) () ())) ())
#s(alt (/ (sin y) y) (taylor inf y) (#s(alt (/.f64 (sin.f64 y) y) (patch (/.f64 (sin.f64 y) y) #<representation binary64>) () ())) ())
#s(alt (/ (sin y) y) (taylor inf y) (#s(alt (/.f64 (sin.f64 y) y) (patch (/.f64 (sin.f64 y) y) #<representation binary64>) () ())) ())
#s(alt (/ (sin y) y) (taylor inf y) (#s(alt (/.f64 (sin.f64 y) y) (patch (/.f64 (sin.f64 y) y) #<representation binary64>) () ())) ())
#s(alt (sin y) (taylor inf y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ())
#s(alt (sin y) (taylor inf y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ())
#s(alt (sin y) (taylor inf y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ())
#s(alt (sin y) (taylor inf y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) (taylor -inf y) (#s(alt (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) (patch (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) (taylor -inf y) (#s(alt (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) (patch (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) (taylor -inf y) (#s(alt (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) (patch (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) (taylor -inf y) (#s(alt (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) (patch (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt (/ (sin y) y) (taylor -inf y) (#s(alt (/.f64 (sin.f64 y) y) (patch (/.f64 (sin.f64 y) y) #<representation binary64>) () ())) ())
#s(alt (/ (sin y) y) (taylor -inf y) (#s(alt (/.f64 (sin.f64 y) y) (patch (/.f64 (sin.f64 y) y) #<representation binary64>) () ())) ())
#s(alt (/ (sin y) y) (taylor -inf y) (#s(alt (/.f64 (sin.f64 y) y) (patch (/.f64 (sin.f64 y) y) #<representation binary64>) () ())) ())
#s(alt (/ (sin y) y) (taylor -inf y) (#s(alt (/.f64 (sin.f64 y) y) (patch (/.f64 (sin.f64 y) y) #<representation binary64>) () ())) ())
#s(alt (sin y) (taylor -inf y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ())
#s(alt (sin y) (taylor -inf y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ())
#s(alt (sin y) (taylor -inf y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ())
#s(alt (sin y) (taylor -inf y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ())
#s(alt (/ (sin y) y) (taylor 0 x) (#s(alt (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) (patch (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 (/ (* (pow x 2) (sin y)) y)) (/ (sin y) y)) (taylor 0 x) (#s(alt (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) (patch (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) (sin y)) y)) (* 1/2 (/ (sin y) y)))) (/ (sin y) y)) (taylor 0 x) (#s(alt (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) (patch (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow x 2) (+ (* 1/2 (/ (sin y) y)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) (sin y)) y)) (* 1/24 (/ (sin y) y)))))) (/ (sin y) y)) (taylor 0 x) (#s(alt (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) (patch (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt (cosh.f64 x) (patch (cosh.f64 x) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 1/2 (pow x 2))) (taylor 0 x) (#s(alt (cosh.f64 x) (patch (cosh.f64 x) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) (taylor 0 x) (#s(alt (cosh.f64 x) (patch (cosh.f64 x) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) (taylor 0 x) (#s(alt (cosh.f64 x) (patch (cosh.f64 x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) (taylor inf x) (#s(alt (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) (patch (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) (taylor inf x) (#s(alt (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) (patch (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) (taylor inf x) (#s(alt (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) (patch (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) (taylor inf x) (#s(alt (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) (patch (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (+ (exp x) (/ 1 (exp x)))) (taylor inf x) (#s(alt (cosh.f64 x) (patch (cosh.f64 x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (+ (exp x) (/ 1 (exp x)))) (taylor inf x) (#s(alt (cosh.f64 x) (patch (cosh.f64 x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (+ (exp x) (/ 1 (exp x)))) (taylor inf x) (#s(alt (cosh.f64 x) (patch (cosh.f64 x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (+ (exp x) (/ 1 (exp x)))) (taylor inf x) (#s(alt (cosh.f64 x) (patch (cosh.f64 x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) (taylor -inf x) (#s(alt (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) (patch (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) (taylor -inf x) (#s(alt (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) (patch (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) (taylor -inf x) (#s(alt (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) (patch (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) (taylor -inf x) (#s(alt (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) (patch (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (+ (exp x) (/ 1 (exp x)))) (taylor -inf x) (#s(alt (cosh.f64 x) (patch (cosh.f64 x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (+ (exp x) (/ 1 (exp x)))) (taylor -inf x) (#s(alt (cosh.f64 x) (patch (cosh.f64 x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (+ (exp x) (/ 1 (exp x)))) (taylor -inf x) (#s(alt (cosh.f64 x) (patch (cosh.f64 x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (+ (exp x) (/ 1 (exp x)))) (taylor -inf x) (#s(alt (cosh.f64 x) (patch (cosh.f64 x) #<representation binary64>) () ())) ())
Calls

6 calls:

TimeVariablePointExpression
3.0ms
x
@inf
((* (cosh x) (/ (sin y) y)) (cosh x) (/ (sin y) y) (sin y))
3.0ms
y
@-inf
((* (cosh x) (/ (sin y) y)) (cosh x) (/ (sin y) y) (sin y))
2.0ms
y
@inf
((* (cosh x) (/ (sin y) y)) (cosh x) (/ (sin y) y) (sin y))
2.0ms
x
@-inf
((* (cosh x) (/ (sin y) y)) (cosh x) (/ (sin y) y) (sin y))
1.0ms
y
@0
((* (cosh x) (/ (sin y) y)) (cosh x) (/ (sin y) y) (sin y))

simplify225.0ms (2.4%)

Memory
35.2MiB live, 189.4MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
083638
1268614
2941588
33141569
08072539
Stop Event
iter limit
node limit
Counts
60 → 59
Calls
Call 1
Inputs
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(+ (* -1/12 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/2 (+ (exp x) (/ 1 (exp x)))))
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* 1/240 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))))))
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/10080 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/240 (+ (exp x) (/ 1 (exp x)))))))))
1
(+ 1 (* -1/6 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))
y
(* y (+ 1 (* -1/6 (pow y 2))))
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
(sin y)
(sin y)
(sin y)
(sin y)
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
(sin y)
(sin y)
(sin y)
(sin y)
(/ (sin y) y)
(+ (* 1/2 (/ (* (pow x 2) (sin y)) y)) (/ (sin y) y))
(+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) (sin y)) y)) (* 1/2 (/ (sin y) y)))) (/ (sin y) y))
(+ (* (pow x 2) (+ (* 1/2 (/ (sin y) y)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) (sin y)) y)) (* 1/24 (/ (sin y) y)))))) (/ (sin y) y))
1
(+ 1 (* 1/2 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
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(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
Outputs
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64))
(+ (* -1/12 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/2 (+ (exp x) (/ 1 (exp x)))))
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* 1/240 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))))))
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/240 binary64) (fma.f64 (*.f64 y y) #s(literal -1/12 binary64) #s(literal 1/2 binary64))))
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/10080 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/240 (+ (exp x) (/ 1 (exp x)))))))))
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 y y) #s(literal 1/240 binary64)) (pow.f64 y #s(literal 4 binary64)) (fma.f64 (*.f64 y y) #s(literal -1/12 binary64) #s(literal 1/2 binary64))))
1
#s(literal 1 binary64)
(+ 1 (* -1/6 (pow y 2)))
(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))
y
(* y (+ 1 (* -1/6 (pow y 2))))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y)
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) y)
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) y)
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 (sin.f64 y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 (sin.f64 y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 (sin.f64 y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 (sin.f64 y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))))
(/ (sin y) y)
(/.f64 (sin.f64 y) y)
(/ (sin y) y)
(/.f64 (sin.f64 y) y)
(/ (sin y) y)
(/.f64 (sin.f64 y) y)
(/ (sin y) y)
(/.f64 (sin.f64 y) y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 (sin.f64 y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 (sin.f64 y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 (sin.f64 y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 (sin.f64 y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))))
(/ (sin y) y)
(/.f64 (sin.f64 y) y)
(/ (sin y) y)
(/.f64 (sin.f64 y) y)
(/ (sin y) y)
(/.f64 (sin.f64 y) y)
(/ (sin y) y)
(/.f64 (sin.f64 y) y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(/ (sin y) y)
(/.f64 (sin.f64 y) y)
(+ (* 1/2 (/ (* (pow x 2) (sin y)) y)) (/ (sin y) y))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 (sin.f64 y) y))
(+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) (sin y)) y)) (* 1/2 (/ (sin y) y)))) (/ (sin y) y))
(*.f64 (/.f64 (sin.f64 y) y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(+ (* (pow x 2) (+ (* 1/2 (/ (sin y) y)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) (sin y)) y)) (* 1/24 (/ (sin y) y)))))) (/ (sin y) y))
(fma.f64 (*.f64 (/.f64 (sin.f64 y) y) (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) (*.f64 x x) (/.f64 (sin.f64 y) y))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 (sin.f64 y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 (sin.f64 y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 (sin.f64 y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 (sin.f64 y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 (sin.f64 y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 (sin.f64 y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 (sin.f64 y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 (sin.f64 y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64))

rewrite239.0ms (2.5%)

Memory
-14.9MiB live, 223.1MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0615
01015
12715
213015
3102515
0843815
Stop Event
iter limit
node limit
iter limit
Counts
4 → 453
Calls
Call 1
Inputs
(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
(cosh.f64 x)
(/.f64 (sin.f64 y) y)
(sin.f64 y)
Outputs
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eval63.0ms (0.7%)

Memory
2.2MiB live, 155.1MiB allocated
Compiler

Compiled 8 310 to 1 245 computations (85% saved)

prune21.0ms (0.2%)

Memory
-15.9MiB live, 69.0MiB allocated
Pruning

13 alts after pruning (13 fresh and 0 done)

PrunedKeptTotal
New49913512
Fresh000
Picked101
Done000
Total50013513
Accuracy
100.0%
Counts
513 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.5%
(/.f64 (/.f64 (neg.f64 (cosh.f64 x)) y) (/.f64 #s(literal -1 binary64) (sin.f64 y)))
74.7%
(/.f64 (*.f64 (/.f64 (neg.f64 (cosh.f64 x)) y) (neg.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (sin.f64 y))
99.9%
(/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))
99.6%
(/.f64 #s(literal -1 binary64) (*.f64 (pow.f64 (sin.f64 y) #s(literal -1 binary64)) (/.f64 (neg.f64 y) (cosh.f64 x))))
99.6%
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (sin.f64 y) (cosh.f64 x))))
99.4%
(*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y))
99.8%
(*.f64 (cosh.f64 x) (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (sin.f64 y))))
65.5%
(*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
65.0%
(*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
90.1%
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y))
84.1%
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y))
70.7%
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y))
48.4%
#s(approx (* (cosh x) (/ (sin y) y)) (/.f64 (sin.f64 y) y))
Compiler

Compiled 288 to 232 computations (19.4% saved)

simplify82.0ms (0.9%)

Memory
34.2MiB live, 144.4MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(sin.f64 y)
cost-diff0
(pow.f64 (sin.f64 y) #s(literal -1 binary64))
cost-diff1216
(/.f64 #s(literal -1 binary64) (*.f64 (pow.f64 (sin.f64 y) #s(literal -1 binary64)) (/.f64 (neg.f64 y) (cosh.f64 x))))
cost-diff6080
(*.f64 (pow.f64 (sin.f64 y) #s(literal -1 binary64)) (/.f64 (neg.f64 y) (cosh.f64 x)))
cost-diff0
(sin.f64 y)
cost-diff0
(cosh.f64 x)
cost-diff0
(/.f64 (cosh.f64 x) y)
cost-diff0
(*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y))
cost-diff0
(*.f64 x x)
cost-diff0
(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))
cost-diff0
#s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)))
cost-diff0
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y))
cost-diff0
#s(approx (/ (sin y) y) #s(literal 1 binary64))
cost-diff0
(cosh.f64 x)
cost-diff0
(*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
cost-diff0
(sin.f64 y)
cost-diff0
(/.f64 y (sin.f64 y))
cost-diff0
(cosh.f64 x)
cost-diff384
(/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
026135
043130
172130
2134128
3335128
4970128
53657128
66783128
08400128
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))
(cosh.f64 x)
x
(/.f64 y (sin.f64 y))
y
(sin.f64 y)
(*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(cosh.f64 x)
x
#s(approx (/ (sin y) y) #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y))
#s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))
(*.f64 x x)
x
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(/.f64 (sin.f64 y) y)
(sin.f64 y)
y
(*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y))
(/.f64 (cosh.f64 x) y)
(cosh.f64 x)
x
y
(sin.f64 y)
(/.f64 #s(literal -1 binary64) (*.f64 (pow.f64 (sin.f64 y) #s(literal -1 binary64)) (/.f64 (neg.f64 y) (cosh.f64 x))))
#s(literal -1 binary64)
(*.f64 (pow.f64 (sin.f64 y) #s(literal -1 binary64)) (/.f64 (neg.f64 y) (cosh.f64 x)))
(pow.f64 (sin.f64 y) #s(literal -1 binary64))
(sin.f64 y)
y
(/.f64 (neg.f64 y) (cosh.f64 x))
(neg.f64 y)
(cosh.f64 x)
x
Outputs
(/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))
(*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y))
(cosh.f64 x)
x
(/.f64 y (sin.f64 y))
y
(sin.f64 y)
(*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (/ (sin y) y) #s(literal 1 binary64)) (cosh.f64 x))
(cosh.f64 x)
x
#s(approx (/ (sin y) y) #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y))
(*.f64 (/.f64 (sin.f64 y) y) #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))))
#s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)))
#s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(*.f64 x x)
x
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(/.f64 (sin.f64 y) y)
(sin.f64 y)
y
(*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y))
(/.f64 (cosh.f64 x) y)
(cosh.f64 x)
x
y
(sin.f64 y)
(/.f64 #s(literal -1 binary64) (*.f64 (pow.f64 (sin.f64 y) #s(literal -1 binary64)) (/.f64 (neg.f64 y) (cosh.f64 x))))
(*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y))
#s(literal -1 binary64)
(*.f64 (pow.f64 (sin.f64 y) #s(literal -1 binary64)) (/.f64 (neg.f64 y) (cosh.f64 x)))
(/.f64 (/.f64 (neg.f64 y) (cosh.f64 x)) (sin.f64 y))
(pow.f64 (sin.f64 y) #s(literal -1 binary64))
(sin.f64 y)
y
(/.f64 (neg.f64 y) (cosh.f64 x))
(neg.f64 y)
(cosh.f64 x)
x

localize186.0ms (2%)

Memory
-19.2MiB live, 300.1MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.0078125
(/.f64 (neg.f64 y) (cosh.f64 x))
accuracy0.03515625
(pow.f64 (sin.f64 y) #s(literal -1 binary64))
accuracy0.0859375
(/.f64 #s(literal -1 binary64) (*.f64 (pow.f64 (sin.f64 y) #s(literal -1 binary64)) (/.f64 (neg.f64 y) (cosh.f64 x))))
accuracy0.19013719232849646
(*.f64 (pow.f64 (sin.f64 y) #s(literal -1 binary64)) (/.f64 (neg.f64 y) (cosh.f64 x)))
accuracy0
(sin.f64 y)
accuracy0.00390625
(cosh.f64 x)
accuracy0.015625
(/.f64 (cosh.f64 x) y)
accuracy0.38264426336278223
(*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y))
accuracy0
(sin.f64 y)
accuracy0.0078125
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y))
accuracy0.0390625
(/.f64 (sin.f64 y) y)
accuracy1.0488468591798439
#s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)))
accuracy0.00390625
(cosh.f64 x)
accuracy0.0078125
(*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
accuracy14.142838194573274
#s(approx (/ (sin y) y) #s(literal 1 binary64))
accuracy0
(sin.f64 y)
accuracy0.00390625
(cosh.f64 x)
accuracy0.0625
(/.f64 y (sin.f64 y))
accuracy0.08203125
(/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))
Samples
73.0ms129×2exit
54.0ms126×0valid
1.0ms5exit
Compiler

Compiled 243 to 46 computations (81.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 67.0ms
ival-sin: 20.0ms (30% of total)
ival-mult: 16.0ms (24% of total)
ival-div: 12.0ms (18% of total)
adjust: 7.0ms (10.5% of total)
ival-pow: 5.0ms (7.5% of total)
ival-cosh: 3.0ms (4.5% of total)
ival-add: 2.0ms (3% of total)
ival-neg: 1.0ms (1.5% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series39.0ms (0.4%)

Memory
3.7MiB live, 86.8MiB allocated
Counts
17 → 300
Calls
Call 1
Inputs
#s(alt (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y))) (patch (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y))) #<representation binary64>) () ())
#s(alt (cosh.f64 x) (patch (cosh.f64 x) #<representation binary64>) () ())
#s(alt (/.f64 y (sin.f64 y)) (patch (/.f64 y (sin.f64 y)) #<representation binary64>) () ())
#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())
#s(alt (*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) #s(literal 1 binary64))) (patch (*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (/ (sin y) y) #s(literal 1 binary64)) (patch #s(approx (/ (sin y) y) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y)) (patch (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y)) #<representation binary64>) () ())
#s(alt #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (patch #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (patch (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y)) (patch (*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y)) #<representation binary64>) () ())
#s(alt (/.f64 (cosh.f64 x) y) (patch (/.f64 (cosh.f64 x) y) #<representation binary64>) () ())
#s(alt (*.f64 (pow.f64 (sin.f64 y) #s(literal -1 binary64)) (/.f64 (neg.f64 y) (cosh.f64 x))) (patch (*.f64 (pow.f64 (sin.f64 y) #s(literal -1 binary64)) (/.f64 (neg.f64 y) (cosh.f64 x))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal -1 binary64) (*.f64 (pow.f64 (sin.f64 y) #s(literal -1 binary64)) (/.f64 (neg.f64 y) (cosh.f64 x)))) (patch (/.f64 #s(literal -1 binary64) (*.f64 (pow.f64 (sin.f64 y) #s(literal -1 binary64)) (/.f64 (neg.f64 y) (cosh.f64 x)))) #<representation binary64>) () ())
#s(alt (pow.f64 (sin.f64 y) #s(literal -1 binary64)) (patch (pow.f64 (sin.f64 y) #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (sin.f64 y) y) (patch (/.f64 (sin.f64 y) y) #<representation binary64>) () ())
#s(alt (/.f64 (neg.f64 y) (cosh.f64 x)) (patch (/.f64 (neg.f64 y) (cosh.f64 x)) #<representation binary64>) () ())
Outputs
#s(alt (* 1/2 (+ (exp x) (/ 1 (exp x)))) (taylor 0 y) (#s(alt (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y))) (patch (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/12 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/2 (+ (exp x) (/ 1 (exp x))))) (taylor 0 y) (#s(alt (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y))) (patch (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* 1/240 (* (pow y 2) (+ (exp x) (/ 1 (exp x)))))))) (taylor 0 y) (#s(alt (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y))) (patch (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/10080 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/240 (+ (exp x) (/ 1 (exp x))))))))) (taylor 0 y) (#s(alt (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y))) (patch (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 y) (#s(alt (/.f64 y (sin.f64 y)) (patch (/.f64 y (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 1/6 (pow y 2))) (taylor 0 y) (#s(alt (/.f64 y (sin.f64 y)) (patch (/.f64 y (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow y 2) (+ 1/6 (* 7/360 (pow y 2))))) (taylor 0 y) (#s(alt (/.f64 y (sin.f64 y)) (patch (/.f64 y (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 7/360 (* 31/15120 (pow y 2))))))) (taylor 0 y) (#s(alt (/.f64 y (sin.f64 y)) (patch (/.f64 y (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt y (taylor 0 y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (* -1/6 (pow y 2)))) (taylor 0 y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) (taylor 0 y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) (taylor 0 y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (+ (exp x) (/ 1 (exp x)))) (taylor 0 y) (#s(alt (*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) #s(literal 1 binary64))) (patch (*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/12 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/2 (+ (exp x) (/ 1 (exp x))))) (taylor 0 y) (#s(alt (*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) #s(literal 1 binary64))) (patch (*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* 1/240 (* (pow y 2) (+ (exp x) (/ 1 (exp x)))))))) (taylor 0 y) (#s(alt (*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) #s(literal 1 binary64))) (patch (*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/10080 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/240 (+ (exp x) (/ 1 (exp x))))))))) (taylor 0 y) (#s(alt (*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) #s(literal 1 binary64))) (patch (*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 y) (#s(alt #s(approx (/ (sin y) y) #s(literal 1 binary64)) (patch #s(approx (/ (sin y) y) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1/6 (pow y 2))) (taylor 0 y) (#s(alt #s(approx (/ (sin y) y) #s(literal 1 binary64)) (patch #s(approx (/ (sin y) y) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) (taylor 0 y) (#s(alt #s(approx (/ (sin y) y) #s(literal 1 binary64)) (patch #s(approx (/ (sin y) y) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) (taylor 0 y) (#s(alt #s(approx (/ (sin y) y) #s(literal 1 binary64)) (patch #s(approx (/ (sin y) y) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (+ (exp x) (/ 1 (exp x)))) (taylor 0 y) (#s(alt (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y)) (patch (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/12 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/2 (+ (exp x) (/ 1 (exp x))))) (taylor 0 y) (#s(alt (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y)) (patch (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* 1/240 (* (pow y 2) (+ (exp x) (/ 1 (exp x)))))))) (taylor 0 y) (#s(alt (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y)) (patch (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/10080 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/240 (+ (exp x) (/ 1 (exp x))))))))) (taylor 0 y) (#s(alt (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y)) (patch (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (+ (exp x) (/ 1 (exp x)))) (taylor 0 y) (#s(alt (*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y)) (patch (*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/12 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/2 (+ (exp x) (/ 1 (exp x))))) (taylor 0 y) (#s(alt (*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y)) (patch (*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* 1/240 (* (pow y 2) (+ (exp x) (/ 1 (exp x)))))))) (taylor 0 y) (#s(alt (*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y)) (patch (*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/10080 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/240 (+ (exp x) (/ 1 (exp x))))))))) (taylor 0 y) (#s(alt (*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y)) (patch (*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y)) (taylor 0 y) (#s(alt (/.f64 (cosh.f64 x) y) (patch (/.f64 (cosh.f64 x) y) #<representation binary64>) () ())) ())
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#s(alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) (taylor -inf x) (#s(alt (*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) #s(literal 1 binary64))) (patch (*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
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#s(alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) (taylor -inf x) (#s(alt (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y)) (patch (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) (taylor -inf x) (#s(alt (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y)) (patch (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y)) #<representation binary64>) () ())) ())
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#s(alt (* 1/2 (+ (exp x) (/ 1 (exp x)))) (taylor -inf x) (#s(alt #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (patch #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (+ (exp x) (/ 1 (exp x)))) (taylor -inf x) (#s(alt #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (patch #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (pow x 2)) (taylor -inf x) (#s(alt (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (patch (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/2 (/ 1 (pow x 2)))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (patch (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/2 (/ 1 (pow x 2)))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (patch (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/2 (/ 1 (pow x 2)))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (patch (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) (taylor -inf x) (#s(alt (*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y)) (patch (*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) (taylor -inf x) (#s(alt (*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y)) (patch (*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) (taylor -inf x) (#s(alt (*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y)) (patch (*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) (taylor -inf x) (#s(alt (*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y)) (patch (*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y)) (taylor -inf x) (#s(alt (/.f64 (cosh.f64 x) y) (patch (/.f64 (cosh.f64 x) y) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y)) (taylor -inf x) (#s(alt (/.f64 (cosh.f64 x) y) (patch (/.f64 (cosh.f64 x) y) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y)) (taylor -inf x) (#s(alt (/.f64 (cosh.f64 x) y) (patch (/.f64 (cosh.f64 x) y) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y)) (taylor -inf x) (#s(alt (/.f64 (cosh.f64 x) y) (patch (/.f64 (cosh.f64 x) y) #<representation binary64>) () ())) ())
#s(alt (* -2 (/ y (* (sin y) (+ (exp x) (/ 1 (exp x)))))) (taylor -inf x) (#s(alt (*.f64 (pow.f64 (sin.f64 y) #s(literal -1 binary64)) (/.f64 (neg.f64 y) (cosh.f64 x))) (patch (*.f64 (pow.f64 (sin.f64 y) #s(literal -1 binary64)) (/.f64 (neg.f64 y) (cosh.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* -2 (/ y (* (sin y) (+ (exp x) (/ 1 (exp x)))))) (taylor -inf x) (#s(alt (*.f64 (pow.f64 (sin.f64 y) #s(literal -1 binary64)) (/.f64 (neg.f64 y) (cosh.f64 x))) (patch (*.f64 (pow.f64 (sin.f64 y) #s(literal -1 binary64)) (/.f64 (neg.f64 y) (cosh.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* -2 (/ y (* (sin y) (+ (exp x) (/ 1 (exp x)))))) (taylor -inf x) (#s(alt (*.f64 (pow.f64 (sin.f64 y) #s(literal -1 binary64)) (/.f64 (neg.f64 y) (cosh.f64 x))) (patch (*.f64 (pow.f64 (sin.f64 y) #s(literal -1 binary64)) (/.f64 (neg.f64 y) (cosh.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* -2 (/ y (* (sin y) (+ (exp x) (/ 1 (exp x)))))) (taylor -inf x) (#s(alt (*.f64 (pow.f64 (sin.f64 y) #s(literal -1 binary64)) (/.f64 (neg.f64 y) (cosh.f64 x))) (patch (*.f64 (pow.f64 (sin.f64 y) #s(literal -1 binary64)) (/.f64 (neg.f64 y) (cosh.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) (taylor -inf x) (#s(alt (/.f64 #s(literal -1 binary64) (*.f64 (pow.f64 (sin.f64 y) #s(literal -1 binary64)) (/.f64 (neg.f64 y) (cosh.f64 x)))) (patch (/.f64 #s(literal -1 binary64) (*.f64 (pow.f64 (sin.f64 y) #s(literal -1 binary64)) (/.f64 (neg.f64 y) (cosh.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) (taylor -inf x) (#s(alt (/.f64 #s(literal -1 binary64) (*.f64 (pow.f64 (sin.f64 y) #s(literal -1 binary64)) (/.f64 (neg.f64 y) (cosh.f64 x)))) (patch (/.f64 #s(literal -1 binary64) (*.f64 (pow.f64 (sin.f64 y) #s(literal -1 binary64)) (/.f64 (neg.f64 y) (cosh.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) (taylor -inf x) (#s(alt (/.f64 #s(literal -1 binary64) (*.f64 (pow.f64 (sin.f64 y) #s(literal -1 binary64)) (/.f64 (neg.f64 y) (cosh.f64 x)))) (patch (/.f64 #s(literal -1 binary64) (*.f64 (pow.f64 (sin.f64 y) #s(literal -1 binary64)) (/.f64 (neg.f64 y) (cosh.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) (taylor -inf x) (#s(alt (/.f64 #s(literal -1 binary64) (*.f64 (pow.f64 (sin.f64 y) #s(literal -1 binary64)) (/.f64 (neg.f64 y) (cosh.f64 x)))) (patch (/.f64 #s(literal -1 binary64) (*.f64 (pow.f64 (sin.f64 y) #s(literal -1 binary64)) (/.f64 (neg.f64 y) (cosh.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (* -2 (/ y (+ (exp x) (/ 1 (exp x))))) (taylor -inf x) (#s(alt (/.f64 (neg.f64 y) (cosh.f64 x)) (patch (/.f64 (neg.f64 y) (cosh.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -2 (/ y (+ (exp x) (/ 1 (exp x))))) (taylor -inf x) (#s(alt (/.f64 (neg.f64 y) (cosh.f64 x)) (patch (/.f64 (neg.f64 y) (cosh.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -2 (/ y (+ (exp x) (/ 1 (exp x))))) (taylor -inf x) (#s(alt (/.f64 (neg.f64 y) (cosh.f64 x)) (patch (/.f64 (neg.f64 y) (cosh.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -2 (/ y (+ (exp x) (/ 1 (exp x))))) (taylor -inf x) (#s(alt (/.f64 (neg.f64 y) (cosh.f64 x)) (patch (/.f64 (neg.f64 y) (cosh.f64 x)) #<representation binary64>) () ())) ())
Calls

6 calls:

TimeVariablePointExpression
9.0ms
x
@0
((/ (cosh x) (/ y (sin y))) (cosh x) (/ y (sin y)) (sin y) (* (cosh x) (/ (sin y) y)) (/ (sin y) y) (* (cosh x) (/ (sin y) y)) (cosh x) (+ (* (* x x) 1/2) 1) (* x x) (* (/ (cosh x) y) (sin y)) (/ (cosh x) y) (* (pow (sin y) -1) (/ (neg y) (cosh x))) (/ -1 (* (pow (sin y) -1) (/ (neg y) (cosh x)))) (pow (sin y) -1) (/ (sin y) y) (/ (neg y) (cosh x)))
7.0ms
x
@inf
((/ (cosh x) (/ y (sin y))) (cosh x) (/ y (sin y)) (sin y) (* (cosh x) (/ (sin y) y)) (/ (sin y) y) (* (cosh x) (/ (sin y) y)) (cosh x) (+ (* (* x x) 1/2) 1) (* x x) (* (/ (cosh x) y) (sin y)) (/ (cosh x) y) (* (pow (sin y) -1) (/ (neg y) (cosh x))) (/ -1 (* (pow (sin y) -1) (/ (neg y) (cosh x)))) (pow (sin y) -1) (/ (sin y) y) (/ (neg y) (cosh x)))
4.0ms
x
@-inf
((/ (cosh x) (/ y (sin y))) (cosh x) (/ y (sin y)) (sin y) (* (cosh x) (/ (sin y) y)) (/ (sin y) y) (* (cosh x) (/ (sin y) y)) (cosh x) (+ (* (* x x) 1/2) 1) (* x x) (* (/ (cosh x) y) (sin y)) (/ (cosh x) y) (* (pow (sin y) -1) (/ (neg y) (cosh x))) (/ -1 (* (pow (sin y) -1) (/ (neg y) (cosh x)))) (pow (sin y) -1) (/ (sin y) y) (/ (neg y) (cosh x)))
3.0ms
y
@-inf
((/ (cosh x) (/ y (sin y))) (cosh x) (/ y (sin y)) (sin y) (* (cosh x) (/ (sin y) y)) (/ (sin y) y) (* (cosh x) (/ (sin y) y)) (cosh x) (+ (* (* x x) 1/2) 1) (* x x) (* (/ (cosh x) y) (sin y)) (/ (cosh x) y) (* (pow (sin y) -1) (/ (neg y) (cosh x))) (/ -1 (* (pow (sin y) -1) (/ (neg y) (cosh x)))) (pow (sin y) -1) (/ (sin y) y) (/ (neg y) (cosh x)))
3.0ms
y
@inf
((/ (cosh x) (/ y (sin y))) (cosh x) (/ y (sin y)) (sin y) (* (cosh x) (/ (sin y) y)) (/ (sin y) y) (* (cosh x) (/ (sin y) y)) (cosh x) (+ (* (* x x) 1/2) 1) (* x x) (* (/ (cosh x) y) (sin y)) (/ (cosh x) y) (* (pow (sin y) -1) (/ (neg y) (cosh x))) (/ -1 (* (pow (sin y) -1) (/ (neg y) (cosh x)))) (pow (sin y) -1) (/ (sin y) y) (/ (neg y) (cosh x)))

simplify191.0ms (2%)

Memory
35.0MiB live, 224.4MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02033611
16443481
221703347
351243312
474453312
081443179
Stop Event
iter limit
node limit
Counts
300 → 299
Calls
Call 1
Inputs
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(+ (* -1/12 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/2 (+ (exp x) (/ 1 (exp x)))))
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* 1/240 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))))))
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/10080 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/240 (+ (exp x) (/ 1 (exp x)))))))))
1
(+ 1 (* 1/6 (pow y 2)))
(+ 1 (* (pow y 2) (+ 1/6 (* 7/360 (pow y 2)))))
(+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 7/360 (* 31/15120 (pow y 2)))))))
y
(* y (+ 1 (* -1/6 (pow y 2))))
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(+ (* -1/12 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/2 (+ (exp x) (/ 1 (exp x)))))
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* 1/240 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))))))
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/10080 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/240 (+ (exp x) (/ 1 (exp x)))))))))
1
(+ 1 (* -1/6 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(+ (* -1/12 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/2 (+ (exp x) (/ 1 (exp x)))))
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* 1/240 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))))))
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/10080 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/240 (+ (exp x) (/ 1 (exp x)))))))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(+ (* -1/12 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/2 (+ (exp x) (/ 1 (exp x)))))
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* 1/240 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))))))
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/10080 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/240 (+ (exp x) (/ 1 (exp x)))))))))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y))
(/ -2 (+ (exp x) (/ 1 (exp x))))
(- (* -1/3 (/ (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 2 (/ 1 (+ (exp x) (/ 1 (exp x))))))
(- (* (pow y 2) (- (* -7/180 (/ (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/3 (/ 1 (+ (exp x) (/ 1 (exp x))))))) (* 2 (/ 1 (+ (exp x) (/ 1 (exp x))))))
(- (* (pow y 2) (- (* (pow y 2) (- (* -31/7560 (/ (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 7/180 (/ 1 (+ (exp x) (/ 1 (exp x))))))) (* 1/3 (/ 1 (+ (exp x) (/ 1 (exp x))))))) (* 2 (/ 1 (+ (exp x) (/ 1 (exp x))))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(+ (* -1/12 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/2 (+ (exp x) (/ 1 (exp x)))))
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* 1/240 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))))))
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/10080 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/240 (+ (exp x) (/ 1 (exp x)))))))))
(/ 1 y)
(/ (+ 1 (* 1/6 (pow y 2))) y)
(/ (+ 1 (* (pow y 2) (+ 1/6 (* 7/360 (pow y 2))))) y)
(/ (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 7/360 (* 31/15120 (pow y 2))))))) y)
1
(+ 1 (* -1/6 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))
(* -2 (/ y (+ (exp x) (/ 1 (exp x)))))
(* -2 (/ y (+ (exp x) (/ 1 (exp x)))))
(* -2 (/ y (+ (exp x) (/ 1 (exp x)))))
(* -2 (/ y (+ (exp x) (/ 1 (exp x)))))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(/ y (sin y))
(/ y (sin y))
(/ y (sin y))
(/ y (sin y))
(sin y)
(sin y)
(sin y)
(sin y)
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y))
(* -2 (/ y (* (sin y) (+ (exp x) (/ 1 (exp x))))))
(* -2 (/ y (* (sin y) (+ (exp x) (/ 1 (exp x))))))
(* -2 (/ y (* (sin y) (+ (exp x) (/ 1 (exp x))))))
(* -2 (/ y (* (sin y) (+ (exp x) (/ 1 (exp x))))))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(/ 1 (sin y))
(/ 1 (sin y))
(/ 1 (sin y))
(/ 1 (sin y))
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
(* -2 (/ y (+ (exp x) (/ 1 (exp x)))))
(* -2 (/ y (+ (exp x) (/ 1 (exp x)))))
(* -2 (/ y (+ (exp x) (/ 1 (exp x)))))
(* -2 (/ y (+ (exp x) (/ 1 (exp x)))))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(/ y (sin y))
(/ y (sin y))
(/ y (sin y))
(/ y (sin y))
(sin y)
(sin y)
(sin y)
(sin y)
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y))
(* -2 (/ y (* (sin y) (+ (exp x) (/ 1 (exp x))))))
(* -2 (/ y (* (sin y) (+ (exp x) (/ 1 (exp x))))))
(* -2 (/ y (* (sin y) (+ (exp x) (/ 1 (exp x))))))
(* -2 (/ y (* (sin y) (+ (exp x) (/ 1 (exp x))))))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(/ 1 (sin y))
(/ 1 (sin y))
(/ 1 (sin y))
(/ 1 (sin y))
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
(* -2 (/ y (+ (exp x) (/ 1 (exp x)))))
(* -2 (/ y (+ (exp x) (/ 1 (exp x)))))
(* -2 (/ y (+ (exp x) (/ 1 (exp x)))))
(* -2 (/ y (+ (exp x) (/ 1 (exp x)))))
(/ (sin y) y)
(+ (* 1/2 (/ (* (pow x 2) (sin y)) y)) (/ (sin y) y))
(+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) (sin y)) y)) (* 1/2 (/ (sin y) y)))) (/ (sin y) y))
(+ (* (pow x 2) (+ (* 1/2 (/ (sin y) y)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) (sin y)) y)) (* 1/24 (/ (sin y) y)))))) (/ (sin y) y))
1
(+ 1 (* 1/2 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))
(/ (sin y) y)
(+ (* 1/2 (/ (* (pow x 2) (sin y)) y)) (/ (sin y) y))
(+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) (sin y)) y)) (* 1/2 (/ (sin y) y)))) (/ (sin y) y))
(+ (* (pow x 2) (+ (* 1/2 (/ (sin y) y)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) (sin y)) y)) (* 1/24 (/ (sin y) y)))))) (/ (sin y) y))
(/ (sin y) y)
(+ (* 1/2 (/ (* (pow x 2) (sin y)) y)) (/ (sin y) y))
(+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) (sin y)) y)) (* 1/2 (/ (sin y) y)))) (/ (sin y) y))
(+ (* (pow x 2) (+ (* 1/2 (/ (sin y) y)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) (sin y)) y)) (* 1/24 (/ (sin y) y)))))) (/ (sin y) y))
1
(+ 1 (* 1/2 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))
1
(+ 1 (* 1/2 (pow x 2)))
(+ 1 (* 1/2 (pow x 2)))
(+ 1 (* 1/2 (pow x 2)))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(/ (sin y) y)
(+ (* 1/2 (/ (* (pow x 2) (sin y)) y)) (/ (sin y) y))
(+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) (sin y)) y)) (* 1/2 (/ (sin y) y)))) (/ (sin y) y))
(+ (* (pow x 2) (+ (* 1/2 (/ (sin y) y)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) (sin y)) y)) (* 1/24 (/ (sin y) y)))))) (/ (sin y) y))
(/ 1 y)
(+ (* 1/2 (/ (pow x 2) y)) (/ 1 y))
(+ (* (pow x 2) (+ (* 1/24 (/ (pow x 2) y)) (* 1/2 (/ 1 y)))) (/ 1 y))
(+ (* (pow x 2) (+ (* (pow x 2) (+ (* 1/720 (/ (pow x 2) y)) (* 1/24 (/ 1 y)))) (* 1/2 (/ 1 y)))) (/ 1 y))
(* -1 (/ y (sin y)))
(+ (* -1 (/ y (sin y))) (* 1/2 (/ (* (pow x 2) y) (sin y))))
(+ (* -1 (/ y (sin y))) (* (pow x 2) (+ (* 1/2 (/ y (sin y))) (* (pow x 2) (+ (* -1/4 (/ y (sin y))) (* 1/24 (/ y (sin y))))))))
(+ (* -1 (/ y (sin y))) (* (pow x 2) (+ (* 1/2 (/ y (sin y))) (* (pow x 2) (+ (* -1/4 (/ y (sin y))) (+ (* 1/24 (/ y (sin y))) (* (pow x 2) (+ (* -1/2 (+ (* -1/4 (/ y (sin y))) (* 1/24 (/ y (sin y))))) (+ (* -1/48 (/ y (sin y))) (* 1/720 (/ y (sin y))))))))))))
(/ (sin y) y)
(+ (* 1/2 (/ (* (pow x 2) (sin y)) y)) (/ (sin y) y))
(+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) (sin y)) y)) (* 1/2 (/ (sin y) y)))) (/ (sin y) y))
(+ (* (pow x 2) (+ (* 1/2 (/ (sin y) y)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) (sin y)) y)) (* 1/24 (/ (sin y) y)))))) (/ (sin y) y))
(* -1 y)
(+ (* -1 y) (* 1/2 (* (pow x 2) y)))
(+ (* -1 y) (* (pow x 2) (+ (* 1/2 y) (* (pow x 2) (+ (* -1/4 y) (* 1/24 y))))))
(+ (* -1 y) (* (pow x 2) (+ (* 1/2 y) (* (pow x 2) (+ (* -1/4 y) (+ (* 1/24 y) (* (pow x 2) (+ (* -1/2 (+ (* -1/4 y) (* 1/24 y))) (+ (* -1/48 y) (* 1/720 y))))))))))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y))
(* -2 (/ y (* (sin y) (+ (exp x) (/ 1 (exp x))))))
(* -2 (/ y (* (sin y) (+ (exp x) (/ 1 (exp x))))))
(* -2 (/ y (* (sin y) (+ (exp x) (/ 1 (exp x))))))
(* -2 (/ y (* (sin y) (+ (exp x) (/ 1 (exp x))))))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* -2 (/ y (+ (exp x) (/ 1 (exp x)))))
(* -2 (/ y (+ (exp x) (/ 1 (exp x)))))
(* -2 (/ y (+ (exp x) (/ 1 (exp x)))))
(* -2 (/ y (+ (exp x) (/ 1 (exp x)))))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y))
(* -2 (/ y (* (sin y) (+ (exp x) (/ 1 (exp x))))))
(* -2 (/ y (* (sin y) (+ (exp x) (/ 1 (exp x))))))
(* -2 (/ y (* (sin y) (+ (exp x) (/ 1 (exp x))))))
(* -2 (/ y (* (sin y) (+ (exp x) (/ 1 (exp x))))))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* -2 (/ y (+ (exp x) (/ 1 (exp x)))))
(* -2 (/ y (+ (exp x) (/ 1 (exp x)))))
(* -2 (/ y (+ (exp x) (/ 1 (exp x)))))
(* -2 (/ y (+ (exp x) (/ 1 (exp x)))))
Outputs
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64))
(+ (* -1/12 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/2 (+ (exp x) (/ 1 (exp x)))))
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (fma.f64 (*.f64 y y) #s(literal -1/12 binary64) #s(literal 1/2 binary64)))
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* 1/240 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))))))
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 1/240 binary64) (*.f64 y y) #s(literal -1/12 binary64)) #s(literal 1/2 binary64)))
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/10080 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/240 (+ (exp x) (/ 1 (exp x)))))))))
(fma.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (fma.f64 (*.f64 y y) (fma.f64 #s(literal -1/10080 binary64) (*.f64 y y) #s(literal 1/240 binary64)) #s(literal -1/12 binary64))) (*.f64 y y) (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64)))
1
#s(literal 1 binary64)
(+ 1 (* 1/6 (pow y 2)))
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (+ 1/6 (* 7/360 (pow y 2)))))
(fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 7/360 (* 31/15120 (pow y 2)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 31/15120 binary64) (*.f64 y y) #s(literal 7/360 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))
y
(* y (+ 1 (* -1/6 (pow y 2))))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y)
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) y)
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) y)
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64))
(+ (* -1/12 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/2 (+ (exp x) (/ 1 (exp x)))))
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (fma.f64 (*.f64 y y) #s(literal -1/12 binary64) #s(literal 1/2 binary64)))
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* 1/240 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))))))
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 1/240 binary64) (*.f64 y y) #s(literal -1/12 binary64)) #s(literal 1/2 binary64)))
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/10080 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/240 (+ (exp x) (/ 1 (exp x)))))))))
(fma.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (fma.f64 (*.f64 y y) (fma.f64 #s(literal -1/10080 binary64) (*.f64 y y) #s(literal 1/240 binary64)) #s(literal -1/12 binary64))) (*.f64 y y) (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64)))
1
#s(literal 1 binary64)
(+ 1 (* -1/6 (pow y 2)))
(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64))
(+ (* -1/12 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/2 (+ (exp x) (/ 1 (exp x)))))
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (fma.f64 (*.f64 y y) #s(literal -1/12 binary64) #s(literal 1/2 binary64)))
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* 1/240 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))))))
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 1/240 binary64) (*.f64 y y) #s(literal -1/12 binary64)) #s(literal 1/2 binary64)))
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/10080 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/240 (+ (exp x) (/ 1 (exp x)))))))))
(fma.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (fma.f64 (*.f64 y y) (fma.f64 #s(literal -1/10080 binary64) (*.f64 y y) #s(literal 1/240 binary64)) #s(literal -1/12 binary64))) (*.f64 y y) (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64)))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64))
(+ (* -1/12 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/2 (+ (exp x) (/ 1 (exp x)))))
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (fma.f64 (*.f64 y y) #s(literal -1/12 binary64) #s(literal 1/2 binary64)))
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* 1/240 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))))))
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 1/240 binary64) (*.f64 y y) #s(literal -1/12 binary64)) #s(literal 1/2 binary64)))
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/10080 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/240 (+ (exp x) (/ 1 (exp x)))))))))
(fma.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (fma.f64 (*.f64 y y) (fma.f64 #s(literal -1/10080 binary64) (*.f64 y y) #s(literal 1/240 binary64)) #s(literal -1/12 binary64))) (*.f64 y y) (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64)))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(/ -2 (+ (exp x) (/ 1 (exp x))))
(/.f64 #s(literal -2 binary64) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(- (* -1/3 (/ (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 2 (/ 1 (+ (exp x) (/ 1 (exp x))))))
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (/.f64 y (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) (/.f64 #s(literal -2 binary64) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))))
(- (* (pow y 2) (- (* -7/180 (/ (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/3 (/ 1 (+ (exp x) (/ 1 (exp x))))))) (* 2 (/ 1 (+ (exp x) (/ 1 (exp x))))))
(fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -7/180 binary64) y) (/.f64 y (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) (/.f64 #s(literal -1/3 binary64) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))) y) y (/.f64 #s(literal -2 binary64) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))))
(- (* (pow y 2) (- (* (pow y 2) (- (* -31/7560 (/ (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 7/180 (/ 1 (+ (exp x) (/ 1 (exp x))))))) (* 1/3 (/ 1 (+ (exp x) (/ 1 (exp x))))))) (* 2 (/ 1 (+ (exp x) (/ 1 (exp x))))))
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(*.f64 (*.f64 (sin.f64 y) #s(literal 1/2 binary64)) (/.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(*.f64 (*.f64 (sin.f64 y) #s(literal 1/2 binary64)) (/.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(*.f64 (*.f64 (sin.f64 y) #s(literal 1/2 binary64)) (/.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(* -2 (/ y (* (sin y) (+ (exp x) (/ 1 (exp x))))))
(*.f64 (/.f64 #s(literal -2 binary64) (sin.f64 y)) (/.f64 y (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))))
(* -2 (/ y (* (sin y) (+ (exp x) (/ 1 (exp x))))))
(*.f64 (/.f64 #s(literal -2 binary64) (sin.f64 y)) (/.f64 y (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))))
(* -2 (/ y (* (sin y) (+ (exp x) (/ 1 (exp x))))))
(*.f64 (/.f64 #s(literal -2 binary64) (sin.f64 y)) (/.f64 y (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))))
(* -2 (/ y (* (sin y) (+ (exp x) (/ 1 (exp x))))))
(*.f64 (/.f64 #s(literal -2 binary64) (sin.f64 y)) (/.f64 y (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(*.f64 (*.f64 (sin.f64 y) #s(literal 1/2 binary64)) (/.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(*.f64 (*.f64 (sin.f64 y) #s(literal 1/2 binary64)) (/.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(*.f64 (*.f64 (sin.f64 y) #s(literal 1/2 binary64)) (/.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(*.f64 (*.f64 (sin.f64 y) #s(literal 1/2 binary64)) (/.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y))
(* -2 (/ y (+ (exp x) (/ 1 (exp x)))))
(*.f64 (/.f64 #s(literal -2 binary64) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) y)
(* -2 (/ y (+ (exp x) (/ 1 (exp x)))))
(*.f64 (/.f64 #s(literal -2 binary64) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) y)
(* -2 (/ y (+ (exp x) (/ 1 (exp x)))))
(*.f64 (/.f64 #s(literal -2 binary64) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) y)
(* -2 (/ y (+ (exp x) (/ 1 (exp x)))))
(*.f64 (/.f64 #s(literal -2 binary64) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) y)

rewrite214.0ms (2.3%)

Memory
-14.5MiB live, 276.4MiB allocated
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
026108
043103
1123101
2653101
35139101
08319101
Stop Event
iter limit
node limit
iter limit
Counts
17 → 1 143
Calls
Call 1
Inputs
(/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))
(cosh.f64 x)
(/.f64 y (sin.f64 y))
(sin.f64 y)
(*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
#s(approx (/ (sin y) y) #s(literal 1 binary64))
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y))
#s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))
(*.f64 x x)
(*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y))
(/.f64 (cosh.f64 x) y)
(*.f64 (pow.f64 (sin.f64 y) #s(literal -1 binary64)) (/.f64 (neg.f64 y) (cosh.f64 x)))
(/.f64 #s(literal -1 binary64) (*.f64 (pow.f64 (sin.f64 y) #s(literal -1 binary64)) (/.f64 (neg.f64 y) (cosh.f64 x))))
(pow.f64 (sin.f64 y) #s(literal -1 binary64))
(/.f64 (sin.f64 y) y)
(/.f64 (neg.f64 y) (cosh.f64 x))
Outputs
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eval315.0ms (3.3%)

Memory
5.5MiB live, 463.5MiB allocated
Compiler

Compiled 24 808 to 2 908 computations (88.3% saved)

prune60.0ms (0.6%)

Memory
-14.5MiB live, 135.9MiB allocated
Pruning

24 alts after pruning (21 fresh and 3 done)

PrunedKeptTotal
New1 722171 739
Fresh448
Picked235
Done000
Total1 728241 752
Accuracy
100.0%
Counts
1 752 → 24
Alt Table
Click to see full alt table
StatusAccuracyProgram
78.6%
(/.f64 (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (neg.f64 y)) (/.f64 #s(literal -1 binary64) (sin.f64 y)))
30.5%
(/.f64 (cosh.f64 x) (/.f64 (neg.f64 (pow.f64 y #s(literal 3 binary64))) (*.f64 (neg.f64 (sin.f64 y)) (*.f64 y y))))
48.4%
(/.f64 #s(approx (cosh x) #s(literal 1 binary64)) (/.f64 y (sin.f64 y)))
48.3%
(/.f64 #s(literal -1 binary64) (*.f64 (pow.f64 (sin.f64 y) #s(literal -1 binary64)) #s(approx (/ (neg y) (cosh x)) (neg.f64 y))))
99.6%
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (sin.f64 y) (cosh.f64 x))))
99.4%
(*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y))
93.2%
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) y) (sin.f64 y))
88.6%
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) y) (sin.f64 y))
78.6%
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) y) (sin.f64 y))
48.3%
(*.f64 (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) y) (sin.f64 y))
99.8%
(*.f64 (cosh.f64 x) (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (sin.f64 y))))
65.5%
(*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
65.0%
(*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
58.3%
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
84.1%
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y))
55.0%
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
70.7%
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y))
52.0%
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
49.8%
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
51.2%
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
44.3%
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
25.8%
(*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) (/.f64 (sin.f64 y) y))
28.0%
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
48.4%
#s(approx (/ (cosh x) (/ y (sin y))) (/.f64 (sin.f64 y) y))
Compiler

Compiled 588 to 460 computations (21.8% saved)

simplify145.0ms (1.5%)

Memory
-18.8MiB live, 178.3MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
cost-diff0
#s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
cost-diff0
(/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (neg.f64 y))
cost-diff1216
(/.f64 (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (neg.f64 y)) (/.f64 #s(literal -1 binary64) (sin.f64 y)))
cost-diff0
(sin.f64 y)
cost-diff0
(/.f64 y (sin.f64 y))
cost-diff0
#s(approx (cosh x) #s(literal 1 binary64))
cost-diff384
(/.f64 #s(approx (cosh x) #s(literal 1 binary64)) (/.f64 y (sin.f64 y)))
cost-diff0
(fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))
cost-diff0
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
cost-diff0
#s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
cost-diff0
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
cost-diff0
#s(approx (/ (sin y) y) #s(literal 1 binary64))
cost-diff0
#s(approx (cosh x) #s(literal 1 binary64))
cost-diff0
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
cost-diff0
(/.f64 #s(literal -1 binary64) y)
cost-diff0
(cosh.f64 x)
cost-diff0
(*.f64 (cosh.f64 x) (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (sin.f64 y))))
cost-diff448
(*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (sin.f64 y)))
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
033225
057225
1103223
2205218
3529216
41535216
53786216
65357216
76126216
87233216
97731216
107834216
08351216
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f64 (cosh.f64 x) (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (sin.f64 y))))
(cosh.f64 x)
x
(*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (sin.f64 y)))
(/.f64 #s(literal -1 binary64) y)
#s(literal -1 binary64)
y
(neg.f64 (sin.f64 y))
(sin.f64 y)
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
#s(approx (cosh x) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (/ (sin y) y) #s(literal 1 binary64))
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
#s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))
#s(literal 1/720 binary64)
(*.f64 x x)
x
#s(literal 1/24 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(approx (/ (sin y) y) #s(literal 1 binary64))
(/.f64 #s(approx (cosh x) #s(literal 1 binary64)) (/.f64 y (sin.f64 y)))
#s(approx (cosh x) #s(literal 1 binary64))
#s(literal 1 binary64)
(/.f64 y (sin.f64 y))
y
(sin.f64 y)
(/.f64 (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (neg.f64 y)) (/.f64 #s(literal -1 binary64) (sin.f64 y)))
(/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (neg.f64 y))
#s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
#s(literal 1/2 binary64)
(*.f64 x x)
x
#s(literal 1 binary64)
(neg.f64 y)
y
(/.f64 #s(literal -1 binary64) (sin.f64 y))
#s(literal -1 binary64)
(sin.f64 y)
Outputs
(*.f64 (cosh.f64 x) (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (sin.f64 y))))
(*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y))
(cosh.f64 x)
x
(*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (sin.f64 y)))
(/.f64 (sin.f64 y) y)
(/.f64 #s(literal -1 binary64) y)
#s(literal -1 binary64)
y
(neg.f64 (sin.f64 y))
(sin.f64 y)
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (/ (sin y) y) #s(literal 1 binary64)) #s(approx (cosh x) #s(literal 1 binary64)))
#s(approx (cosh x) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (/ (sin y) y) #s(literal 1 binary64))
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
#s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))
#s(literal 1/720 binary64)
(*.f64 x x)
x
#s(literal 1/24 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(approx (/ (sin y) y) #s(literal 1 binary64))
(/.f64 #s(approx (cosh x) #s(literal 1 binary64)) (/.f64 y (sin.f64 y)))
(*.f64 (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) y) (sin.f64 y))
#s(approx (cosh x) #s(literal 1 binary64))
#s(literal 1 binary64)
(/.f64 y (sin.f64 y))
y
(sin.f64 y)
(/.f64 (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (neg.f64 y)) (/.f64 #s(literal -1 binary64) (sin.f64 y)))
(*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y))
(/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (neg.f64 y))
#s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
#s(literal 1/2 binary64)
(*.f64 x x)
x
#s(literal 1 binary64)
(neg.f64 y)
y
(/.f64 #s(literal -1 binary64) (sin.f64 y))
#s(literal -1 binary64)
(sin.f64 y)

localize95.0ms (1%)

Memory
26.6MiB live, 218.9MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.015625
(/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (neg.f64 y))
accuracy0.10546875
(/.f64 #s(literal -1 binary64) (sin.f64 y))
accuracy0.33967551336278223
(/.f64 (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (neg.f64 y)) (/.f64 #s(literal -1 binary64) (sin.f64 y)))
accuracy18.548769726941867
#s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
accuracy0
(sin.f64 y)
accuracy0.08203125
(/.f64 #s(approx (cosh x) #s(literal 1 binary64)) (/.f64 y (sin.f64 y)))
accuracy0.125
(/.f64 y (sin.f64 y))
accuracy32.82214855057702
#s(approx (cosh x) #s(literal 1 binary64))
accuracy0.05078125
(fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))
accuracy0.1015625
(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))
accuracy6.244679729086756
#s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
accuracy29.771158319957987
#s(approx (/ (sin y) y) #s(literal 1 binary64))
accuracy0.0078125
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
accuracy29.771158319957987
#s(approx (/ (sin y) y) #s(literal 1 binary64))
accuracy32.82214855057702
#s(approx (cosh x) #s(literal 1 binary64))
accuracy0
(neg.f64 (sin.f64 y))
accuracy0.00390625
(cosh.f64 x)
accuracy0.0078125
(*.f64 (cosh.f64 x) (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (sin.f64 y))))
accuracy0.2734375
(*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (sin.f64 y)))
Samples
67.0ms256×0valid
Compiler

Compiled 354 to 62 computations (82.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 49.0ms
ival-div: 14.0ms (28.4% of total)
ival-mult: 13.0ms (26.4% of total)
ival-sin: 6.0ms (12.2% of total)
const: 6.0ms (12.2% of total)
ival-add: 4.0ms (8.1% of total)
ival-cosh: 3.0ms (6.1% of total)
ival-neg: 2.0ms (4.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series29.0ms (0.3%)

Memory
-27.5MiB live, 52.1MiB allocated
Counts
21 → 324
Calls
Call 1
Inputs
#s(alt (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (sin.f64 y))) (patch (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (sin.f64 y))) #<representation binary64>) () ())
#s(alt (*.f64 (cosh.f64 x) (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (sin.f64 y)))) (patch (*.f64 (cosh.f64 x) (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (sin.f64 y)))) #<representation binary64>) () ())
#s(alt (cosh.f64 x) (patch (cosh.f64 x) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal -1 binary64) y) (patch (/.f64 #s(literal -1 binary64) y) #<representation binary64>) () ())
#s(alt (*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(literal 1 binary64))) (patch (*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (cosh x) #s(literal 1 binary64)) (patch #s(approx (cosh x) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (/ (sin y) y) #s(literal 1 binary64)) (patch #s(approx (/ (sin y) y) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) (patch (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (patch #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) (/.f64 y (sin.f64 y))) (patch (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) (/.f64 y (sin.f64 y))) #<representation binary64>) () ())
#s(alt (/.f64 y (sin.f64 y)) (patch (/.f64 y (sin.f64 y)) #<representation binary64>) () ())
#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())
#s(alt (/.f64 (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (neg.f64 y)) (/.f64 #s(literal -1 binary64) (sin.f64 y))) (patch (/.f64 (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (neg.f64 y)) (/.f64 #s(literal -1 binary64) (sin.f64 y))) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (neg.f64 y)) (patch (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (neg.f64 y)) #<representation binary64>) () ())
#s(alt #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (patch #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (patch (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (neg.f64 (sin.f64 y)) (patch (neg.f64 (sin.f64 y)) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (patch (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal -1 binary64) (sin.f64 y)) (patch (/.f64 #s(literal -1 binary64) (sin.f64 y)) #<representation binary64>) () ())
Outputs
#s(alt 1 (taylor 0 y) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (sin.f64 y))) (patch (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1/6 (pow y 2))) (taylor 0 y) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (sin.f64 y))) (patch (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) (taylor 0 y) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (sin.f64 y))) (patch (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) (taylor 0 y) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (sin.f64 y))) (patch (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (+ (exp x) (/ 1 (exp x)))) (taylor 0 y) (#s(alt (*.f64 (cosh.f64 x) (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (sin.f64 y)))) (patch (*.f64 (cosh.f64 x) (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (sin.f64 y)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/12 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/2 (+ (exp x) (/ 1 (exp x))))) (taylor 0 y) (#s(alt (*.f64 (cosh.f64 x) (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (sin.f64 y)))) (patch (*.f64 (cosh.f64 x) (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (sin.f64 y)))) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* 1/240 (* (pow y 2) (+ (exp x) (/ 1 (exp x)))))))) (taylor 0 y) (#s(alt (*.f64 (cosh.f64 x) (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (sin.f64 y)))) (patch (*.f64 (cosh.f64 x) (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (sin.f64 y)))) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/10080 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/240 (+ (exp x) (/ 1 (exp x))))))))) (taylor 0 y) (#s(alt (*.f64 (cosh.f64 x) (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (sin.f64 y)))) (patch (*.f64 (cosh.f64 x) (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (sin.f64 y)))) #<representation binary64>) () ())) ())
#s(alt (/ -1 y) (taylor 0 y) (#s(alt (/.f64 #s(literal -1 binary64) y) (patch (/.f64 #s(literal -1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (/ -1 y) (taylor 0 y) (#s(alt (/.f64 #s(literal -1 binary64) y) (patch (/.f64 #s(literal -1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (/ -1 y) (taylor 0 y) (#s(alt (/.f64 #s(literal -1 binary64) y) (patch (/.f64 #s(literal -1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (/ -1 y) (taylor 0 y) (#s(alt (/.f64 #s(literal -1 binary64) y) (patch (/.f64 #s(literal -1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (+ (exp x) (/ 1 (exp x)))) (taylor 0 y) (#s(alt (*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(literal 1 binary64))) (patch (*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/12 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/2 (+ (exp x) (/ 1 (exp x))))) (taylor 0 y) (#s(alt (*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(literal 1 binary64))) (patch (*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* 1/240 (* (pow y 2) (+ (exp x) (/ 1 (exp x)))))))) (taylor 0 y) (#s(alt (*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(literal 1 binary64))) (patch (*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/10080 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/240 (+ (exp x) (/ 1 (exp x))))))))) (taylor 0 y) (#s(alt (*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(literal 1 binary64))) (patch (*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 y) (#s(alt #s(approx (/ (sin y) y) #s(literal 1 binary64)) (patch #s(approx (/ (sin y) y) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1/6 (pow y 2))) (taylor 0 y) (#s(alt #s(approx (/ (sin y) y) #s(literal 1 binary64)) (patch #s(approx (/ (sin y) y) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) (taylor 0 y) (#s(alt #s(approx (/ (sin y) y) #s(literal 1 binary64)) (patch #s(approx (/ (sin y) y) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) (taylor 0 y) (#s(alt #s(approx (/ (sin y) y) #s(literal 1 binary64)) (patch #s(approx (/ (sin y) y) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (+ (exp x) (/ 1 (exp x)))) (taylor 0 y) (#s(alt (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) (patch (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/12 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/2 (+ (exp x) (/ 1 (exp x))))) (taylor 0 y) (#s(alt (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) (patch (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* 1/240 (* (pow y 2) (+ (exp x) (/ 1 (exp x)))))))) (taylor 0 y) (#s(alt (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) (patch (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/10080 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/240 (+ (exp x) (/ 1 (exp x))))))))) (taylor 0 y) (#s(alt (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) (patch (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (+ (exp x) (/ 1 (exp x)))) (taylor 0 y) (#s(alt (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) (/.f64 y (sin.f64 y))) (patch (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) (/.f64 y (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/12 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/2 (+ (exp x) (/ 1 (exp x))))) (taylor 0 y) (#s(alt (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) (/.f64 y (sin.f64 y))) (patch (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) (/.f64 y (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* 1/240 (* (pow y 2) (+ (exp x) (/ 1 (exp x)))))))) (taylor 0 y) (#s(alt (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) (/.f64 y (sin.f64 y))) (patch (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) (/.f64 y (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/10080 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/240 (+ (exp x) (/ 1 (exp x))))))))) (taylor 0 y) (#s(alt (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) (/.f64 y (sin.f64 y))) (patch (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) (/.f64 y (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 y) (#s(alt (/.f64 y (sin.f64 y)) (patch (/.f64 y (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 1/6 (pow y 2))) (taylor 0 y) (#s(alt (/.f64 y (sin.f64 y)) (patch (/.f64 y (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow y 2) (+ 1/6 (* 7/360 (pow y 2))))) (taylor 0 y) (#s(alt (/.f64 y (sin.f64 y)) (patch (/.f64 y (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 7/360 (* 31/15120 (pow y 2))))))) (taylor 0 y) (#s(alt (/.f64 y (sin.f64 y)) (patch (/.f64 y (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt y (taylor 0 y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (* -1/6 (pow y 2)))) (taylor 0 y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) (taylor 0 y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) (taylor 0 y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (+ (exp x) (/ 1 (exp x)))) (taylor 0 y) (#s(alt (/.f64 (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (neg.f64 y)) (/.f64 #s(literal -1 binary64) (sin.f64 y))) (patch (/.f64 (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (neg.f64 y)) (/.f64 #s(literal -1 binary64) (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/12 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/2 (+ (exp x) (/ 1 (exp x))))) (taylor 0 y) (#s(alt (/.f64 (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (neg.f64 y)) (/.f64 #s(literal -1 binary64) (sin.f64 y))) (patch (/.f64 (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (neg.f64 y)) (/.f64 #s(literal -1 binary64) (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* 1/240 (* (pow y 2) (+ (exp x) (/ 1 (exp x)))))))) (taylor 0 y) (#s(alt (/.f64 (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (neg.f64 y)) (/.f64 #s(literal -1 binary64) (sin.f64 y))) (patch (/.f64 (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (neg.f64 y)) (/.f64 #s(literal -1 binary64) (sin.f64 y))) #<representation binary64>) () ())) ())
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#s(alt (* 1/2 (+ (exp x) (/ 1 (exp x)))) (taylor -inf x) (#s(alt #s(approx (cosh x) #s(literal 1 binary64)) (patch #s(approx (cosh x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (+ (exp x) (/ 1 (exp x)))) (taylor -inf x) (#s(alt #s(approx (cosh x) #s(literal 1 binary64)) (patch #s(approx (cosh x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (+ (exp x) (/ 1 (exp x)))) (taylor -inf x) (#s(alt #s(approx (cosh x) #s(literal 1 binary64)) (patch #s(approx (cosh x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) (taylor -inf x) (#s(alt (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) (patch (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) (taylor -inf x) (#s(alt (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) (patch (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) (taylor -inf x) (#s(alt (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) (patch (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) (taylor -inf x) (#s(alt (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) (patch (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (+ (exp x) (/ 1 (exp x)))) (taylor -inf x) (#s(alt #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (patch #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (+ (exp x) (/ 1 (exp x)))) (taylor -inf x) (#s(alt #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (patch #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (+ (exp x) (/ 1 (exp x)))) (taylor -inf x) (#s(alt #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (patch #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (+ (exp x) (/ 1 (exp x)))) (taylor -inf x) (#s(alt #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (patch #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/720 (pow x 6)) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2)))))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/720 (pow x 4)) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2)))))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2)))))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) (taylor -inf x) (#s(alt (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) (/.f64 y (sin.f64 y))) (patch (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) (/.f64 y (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) (taylor -inf x) (#s(alt (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) (/.f64 y (sin.f64 y))) (patch (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) (/.f64 y (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) (taylor -inf x) (#s(alt (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) (/.f64 y (sin.f64 y))) (patch (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) (/.f64 y (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) (taylor -inf x) (#s(alt (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) (/.f64 y (sin.f64 y))) (patch (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) (/.f64 y (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) (taylor -inf x) (#s(alt (/.f64 (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (neg.f64 y)) (/.f64 #s(literal -1 binary64) (sin.f64 y))) (patch (/.f64 (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (neg.f64 y)) (/.f64 #s(literal -1 binary64) (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) (taylor -inf x) (#s(alt (/.f64 (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (neg.f64 y)) (/.f64 #s(literal -1 binary64) (sin.f64 y))) (patch (/.f64 (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (neg.f64 y)) (/.f64 #s(literal -1 binary64) (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) (taylor -inf x) (#s(alt (/.f64 (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (neg.f64 y)) (/.f64 #s(literal -1 binary64) (sin.f64 y))) (patch (/.f64 (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (neg.f64 y)) (/.f64 #s(literal -1 binary64) (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) (taylor -inf x) (#s(alt (/.f64 (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (neg.f64 y)) (/.f64 #s(literal -1 binary64) (sin.f64 y))) (patch (/.f64 (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (neg.f64 y)) (/.f64 #s(literal -1 binary64) (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ (+ (exp x) (/ 1 (exp x))) y)) (taylor -inf x) (#s(alt (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (neg.f64 y)) (patch (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (neg.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ (+ (exp x) (/ 1 (exp x))) y)) (taylor -inf x) (#s(alt (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (neg.f64 y)) (patch (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (neg.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ (+ (exp x) (/ 1 (exp x))) y)) (taylor -inf x) (#s(alt (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (neg.f64 y)) (patch (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (neg.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ (+ (exp x) (/ 1 (exp x))) y)) (taylor -inf x) (#s(alt (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (neg.f64 y)) (patch (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (neg.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (+ (exp x) (/ 1 (exp x)))) (taylor -inf x) (#s(alt #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (patch #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (+ (exp x) (/ 1 (exp x)))) (taylor -inf x) (#s(alt #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (patch #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (+ (exp x) (/ 1 (exp x)))) (taylor -inf x) (#s(alt #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (patch #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (+ (exp x) (/ 1 (exp x)))) (taylor -inf x) (#s(alt #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (patch #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (pow x 2)) (taylor -inf x) (#s(alt (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (patch (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/2 (/ 1 (pow x 2)))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (patch (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/2 (/ 1 (pow x 2)))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (patch (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/2 (/ 1 (pow x 2)))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (patch (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/720 (pow x 2)) (taylor -inf x) (#s(alt (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (patch (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (patch (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (patch (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (patch (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) #<representation binary64>) () ())) ())
Calls

6 calls:

TimeVariablePointExpression
4.0ms
y
@inf
((* (/ -1 y) (neg (sin y))) (* (cosh x) (* (/ -1 y) (neg (sin y)))) (cosh x) (/ -1 y) (* (cosh x) (/ (sin y) y)) (cosh x) (/ (sin y) y) (* (cosh x) (/ (sin y) y)) (cosh x) (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (/ (cosh x) (/ y (sin y))) (/ y (sin y)) (sin y) (/ (/ (cosh x) (neg y)) (/ -1 (sin y))) (/ (cosh x) (neg y)) (cosh x) (+ (* 1/2 (* x x)) 1) (neg (sin y)) (+ (* 1/720 (* x x)) 1/24) (/ -1 (sin y)))
3.0ms
x
@inf
((* (/ -1 y) (neg (sin y))) (* (cosh x) (* (/ -1 y) (neg (sin y)))) (cosh x) (/ -1 y) (* (cosh x) (/ (sin y) y)) (cosh x) (/ (sin y) y) (* (cosh x) (/ (sin y) y)) (cosh x) (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (/ (cosh x) (/ y (sin y))) (/ y (sin y)) (sin y) (/ (/ (cosh x) (neg y)) (/ -1 (sin y))) (/ (cosh x) (neg y)) (cosh x) (+ (* 1/2 (* x x)) 1) (neg (sin y)) (+ (* 1/720 (* x x)) 1/24) (/ -1 (sin y)))
2.0ms
x
@-inf
((* (/ -1 y) (neg (sin y))) (* (cosh x) (* (/ -1 y) (neg (sin y)))) (cosh x) (/ -1 y) (* (cosh x) (/ (sin y) y)) (cosh x) (/ (sin y) y) (* (cosh x) (/ (sin y) y)) (cosh x) (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (/ (cosh x) (/ y (sin y))) (/ y (sin y)) (sin y) (/ (/ (cosh x) (neg y)) (/ -1 (sin y))) (/ (cosh x) (neg y)) (cosh x) (+ (* 1/2 (* x x)) 1) (neg (sin y)) (+ (* 1/720 (* x x)) 1/24) (/ -1 (sin y)))
2.0ms
y
@-inf
((* (/ -1 y) (neg (sin y))) (* (cosh x) (* (/ -1 y) (neg (sin y)))) (cosh x) (/ -1 y) (* (cosh x) (/ (sin y) y)) (cosh x) (/ (sin y) y) (* (cosh x) (/ (sin y) y)) (cosh x) (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (/ (cosh x) (/ y (sin y))) (/ y (sin y)) (sin y) (/ (/ (cosh x) (neg y)) (/ -1 (sin y))) (/ (cosh x) (neg y)) (cosh x) (+ (* 1/2 (* x x)) 1) (neg (sin y)) (+ (* 1/720 (* x x)) 1/24) (/ -1 (sin y)))
2.0ms
y
@0
((* (/ -1 y) (neg (sin y))) (* (cosh x) (* (/ -1 y) (neg (sin y)))) (cosh x) (/ -1 y) (* (cosh x) (/ (sin y) y)) (cosh x) (/ (sin y) y) (* (cosh x) (/ (sin y) y)) (cosh x) (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (/ (cosh x) (/ y (sin y))) (/ y (sin y)) (sin y) (/ (/ (cosh x) (neg y)) (/ -1 (sin y))) (/ (cosh x) (neg y)) (cosh x) (+ (* 1/2 (* x x)) 1) (neg (sin y)) (+ (* 1/720 (* x x)) 1/24) (/ -1 (sin y)))

simplify199.0ms (2.1%)

Memory
11.1MiB live, 368.8MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01803575
15333455
216103335
351043230
084023070
Stop Event
iter limit
node limit
Counts
324 → 323
Calls
Call 1
Inputs
1
(+ 1 (* -1/6 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(+ (* -1/12 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/2 (+ (exp x) (/ 1 (exp x)))))
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* 1/240 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))))))
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/10080 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/240 (+ (exp x) (/ 1 (exp x)))))))))
(/ -1 y)
(/ -1 y)
(/ -1 y)
(/ -1 y)
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(+ (* -1/12 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/2 (+ (exp x) (/ 1 (exp x)))))
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* 1/240 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))))))
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/10080 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/240 (+ (exp x) (/ 1 (exp x)))))))))
1
(+ 1 (* -1/6 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(+ (* -1/12 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/2 (+ (exp x) (/ 1 (exp x)))))
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* 1/240 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))))))
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/10080 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/240 (+ (exp x) (/ 1 (exp x)))))))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(+ (* -1/12 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/2 (+ (exp x) (/ 1 (exp x)))))
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* 1/240 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))))))
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/10080 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/240 (+ (exp x) (/ 1 (exp x)))))))))
1
(+ 1 (* 1/6 (pow y 2)))
(+ 1 (* (pow y 2) (+ 1/6 (* 7/360 (pow y 2)))))
(+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 7/360 (* 31/15120 (pow y 2)))))))
y
(* y (+ 1 (* -1/6 (pow y 2))))
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(+ (* -1/12 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/2 (+ (exp x) (/ 1 (exp x)))))
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* 1/240 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))))))
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/10080 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/240 (+ (exp x) (/ 1 (exp x)))))))))
(* -1/2 (/ (+ (exp x) (/ 1 (exp x))) y))
(* -1/2 (/ (+ (exp x) (/ 1 (exp x))) y))
(* -1/2 (/ (+ (exp x) (/ 1 (exp x))) y))
(* -1/2 (/ (+ (exp x) (/ 1 (exp x))) y))
(* -1 y)
(* y (- (* 1/6 (pow y 2)) 1))
(* y (- (* (pow y 2) (+ 1/6 (* -1/120 (pow y 2)))) 1))
(* y (- (* (pow y 2) (+ 1/6 (* (pow y 2) (- (* 1/5040 (pow y 2)) 1/120)))) 1))
(/ -1 y)
(/ (- (* -1/6 (pow y 2)) 1) y)
(/ (- (* (pow y 2) (- (* -7/360 (pow y 2)) 1/6)) 1) y)
(/ (- (* (pow y 2) (- (* (pow y 2) (- (* -31/15120 (pow y 2)) 7/360)) 1/6)) 1) y)
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(/ -1 y)
(/ -1 y)
(/ -1 y)
(/ -1 y)
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(/ y (sin y))
(/ y (sin y))
(/ y (sin y))
(/ y (sin y))
(sin y)
(sin y)
(sin y)
(sin y)
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* -1/2 (/ (+ (exp x) (/ 1 (exp x))) y))
(* -1/2 (/ (+ (exp x) (/ 1 (exp x))) y))
(* -1/2 (/ (+ (exp x) (/ 1 (exp x))) y))
(* -1/2 (/ (+ (exp x) (/ 1 (exp x))) y))
(* -1 (sin y))
(* -1 (sin y))
(* -1 (sin y))
(* -1 (sin y))
(/ -1 (sin y))
(/ -1 (sin y))
(/ -1 (sin y))
(/ -1 (sin y))
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(/ -1 y)
(/ -1 y)
(/ -1 y)
(/ -1 y)
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(/ y (sin y))
(/ y (sin y))
(/ y (sin y))
(/ y (sin y))
(sin y)
(sin y)
(sin y)
(sin y)
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* -1/2 (/ (+ (exp x) (/ 1 (exp x))) y))
(* -1/2 (/ (+ (exp x) (/ 1 (exp x))) y))
(* -1/2 (/ (+ (exp x) (/ 1 (exp x))) y))
(* -1/2 (/ (+ (exp x) (/ 1 (exp x))) y))
(* -1 (sin y))
(* -1 (sin y))
(* -1 (sin y))
(* -1 (sin y))
(/ -1 (sin y))
(/ -1 (sin y))
(/ -1 (sin y))
(/ -1 (sin y))
(/ (sin y) y)
(+ (* 1/2 (/ (* (pow x 2) (sin y)) y)) (/ (sin y) y))
(+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) (sin y)) y)) (* 1/2 (/ (sin y) y)))) (/ (sin y) y))
(+ (* (pow x 2) (+ (* 1/2 (/ (sin y) y)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) (sin y)) y)) (* 1/24 (/ (sin y) y)))))) (/ (sin y) y))
1
(+ 1 (* 1/2 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))
(/ (sin y) y)
(+ (* 1/2 (/ (* (pow x 2) (sin y)) y)) (/ (sin y) y))
(+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) (sin y)) y)) (* 1/2 (/ (sin y) y)))) (/ (sin y) y))
(+ (* (pow x 2) (+ (* 1/2 (/ (sin y) y)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) (sin y)) y)) (* 1/24 (/ (sin y) y)))))) (/ (sin y) y))
1
(+ 1 (* 1/2 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))
(/ (sin y) y)
(+ (* 1/2 (/ (* (pow x 2) (sin y)) y)) (/ (sin y) y))
(+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) (sin y)) y)) (* 1/2 (/ (sin y) y)))) (/ (sin y) y))
(+ (* (pow x 2) (+ (* 1/2 (/ (sin y) y)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) (sin y)) y)) (* 1/24 (/ (sin y) y)))))) (/ (sin y) y))
1
(+ 1 (* 1/2 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))
1
(+ 1 (* 1/2 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))
1/2
(+ 1/2 (* 1/24 (pow x 2)))
(+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))
(+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))
(/ (sin y) y)
(+ (* 1/2 (/ (* (pow x 2) (sin y)) y)) (/ (sin y) y))
(+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) (sin y)) y)) (* 1/2 (/ (sin y) y)))) (/ (sin y) y))
(+ (* (pow x 2) (+ (* 1/2 (/ (sin y) y)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) (sin y)) y)) (* 1/24 (/ (sin y) y)))))) (/ (sin y) y))
(/ (sin y) y)
(+ (* 1/2 (/ (* (pow x 2) (sin y)) y)) (/ (sin y) y))
(+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) (sin y)) y)) (* 1/2 (/ (sin y) y)))) (/ (sin y) y))
(+ (* (pow x 2) (+ (* 1/2 (/ (sin y) y)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) (sin y)) y)) (* 1/24 (/ (sin y) y)))))) (/ (sin y) y))
(/ -1 y)
(- (* -1/2 (/ (pow x 2) y)) (/ 1 y))
(- (* (pow x 2) (- (* -1/24 (/ (pow x 2) y)) (* 1/2 (/ 1 y)))) (/ 1 y))
(- (* (pow x 2) (- (* (pow x 2) (- (* -1/720 (/ (pow x 2) y)) (* 1/24 (/ 1 y)))) (* 1/2 (/ 1 y)))) (/ 1 y))
1
(+ 1 (* 1/2 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))
1
(+ 1 (* 1/2 (pow x 2)))
(+ 1 (* 1/2 (pow x 2)))
(+ 1 (* 1/2 (pow x 2)))
1/24
(+ 1/24 (* 1/720 (pow x 2)))
(+ 1/24 (* 1/720 (pow x 2)))
(+ 1/24 (* 1/720 (pow x 2)))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/720 (pow x 6))
(* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* 1/720 (pow x 4))
(* (pow x 4) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(* (pow x 4) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* -1/2 (/ (+ (exp x) (/ 1 (exp x))) y))
(* -1/2 (/ (+ (exp x) (/ 1 (exp x))) y))
(* -1/2 (/ (+ (exp x) (/ 1 (exp x))) y))
(* -1/2 (/ (+ (exp x) (/ 1 (exp x))) y))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2))))
(* 1/720 (pow x 2))
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/720 (pow x 6))
(* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* 1/720 (pow x 4))
(* (pow x 4) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(* (pow x 4) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* -1/2 (/ (+ (exp x) (/ 1 (exp x))) y))
(* -1/2 (/ (+ (exp x) (/ 1 (exp x))) y))
(* -1/2 (/ (+ (exp x) (/ 1 (exp x))) y))
(* -1/2 (/ (+ (exp x) (/ 1 (exp x))) y))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2))))
(* 1/720 (pow x 2))
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
Outputs
1
#s(literal 1 binary64)
(+ 1 (* -1/6 (pow y 2)))
(fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64))
(+ (* -1/12 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/2 (+ (exp x) (/ 1 (exp x)))))
(*.f64 (fma.f64 #s(literal -1/12 binary64) (*.f64 y y) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* 1/240 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))))))
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (fma.f64 (*.f64 #s(literal -1/12 binary64) y) y (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/240 binary64) #s(literal 1/2 binary64))))
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/10080 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/240 (+ (exp x) (/ 1 (exp x)))))))))
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(*.f64 (/.f64 #s(literal -1/2 binary64) y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(* -1/2 (/ (+ (exp x) (/ 1 (exp x))) y))
(*.f64 (/.f64 #s(literal -1/2 binary64) y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(* -1/2 (/ (+ (exp x) (/ 1 (exp x))) y))
(*.f64 (/.f64 #s(literal -1/2 binary64) y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64))
(* 1/2 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/2 binary64))
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2))))
(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2))))
(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2))))
(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))
(* 1/720 (pow x 2))
(*.f64 #s(literal 1/720 binary64) (*.f64 x x))
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) (sin.f64 y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) (sin.f64 y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) (sin.f64 y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) (sin.f64 y))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) (sin.f64 y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) (sin.f64 y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) (sin.f64 y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) (sin.f64 y))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) (sin.f64 y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) (sin.f64 y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) (sin.f64 y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) (sin.f64 y))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64))
(* 1/720 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/720 binary64))
(* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(*.f64 (+.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/720 binary64)) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/720 binary64)) (/.f64 #s(literal 1/24 binary64) (*.f64 x x))) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(fma.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/720 binary64)) (/.f64 #s(literal 1/24 binary64) (*.f64 x x))) (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))
(* 1/720 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/720 binary64))
(* (pow x 4) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x)
(* (pow x 4) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/720 binary64)) (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 1/24 binary64) (*.f64 x x)))
(* (pow x 4) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/720 binary64)) (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 1/24 binary64) (*.f64 x x)))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) (sin.f64 y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
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(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
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(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
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(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
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(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) (sin.f64 y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
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(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
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(*.f64 (/.f64 #s(literal -1/2 binary64) y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
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(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64))
(* 1/2 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/2 binary64))
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2))))
(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2))))
(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2))))
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(*.f64 #s(literal 1/720 binary64) (*.f64 x x))
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))

rewrite159.0ms (1.7%)

Memory
-8.2MiB live, 271.9MiB allocated
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
033187
057187
1191178
21168178
08713178
Stop Event
iter limit
node limit
iter limit
Counts
21 → 748
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (sin.f64 y)))
(*.f64 (cosh.f64 x) (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (sin.f64 y))))
(cosh.f64 x)
(/.f64 #s(literal -1 binary64) y)
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
#s(approx (cosh x) #s(literal 1 binary64))
#s(approx (/ (sin y) y) #s(literal 1 binary64))
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
#s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))
(/.f64 #s(approx (cosh x) #s(literal 1 binary64)) (/.f64 y (sin.f64 y)))
(/.f64 y (sin.f64 y))
(sin.f64 y)
(/.f64 (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (neg.f64 y)) (/.f64 #s(literal -1 binary64) (sin.f64 y)))
(/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (neg.f64 y))
#s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(neg.f64 (sin.f64 y))
(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))
(/.f64 #s(literal -1 binary64) (sin.f64 y))
Outputs
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eval210.0ms (2.2%)

Memory
25.2MiB live, 385.5MiB allocated
Compiler

Compiled 22 857 to 2 962 computations (87% saved)

prune101.0ms (1.1%)

Memory
5.8MiB live, 130.5MiB allocated
Pruning

34 alts after pruning (28 fresh and 6 done)

PrunedKeptTotal
New1 162171 179
Fresh51116
Picked235
Done033
Total1 169341 203
Accuracy
100.0%
Counts
1 203 → 34
Alt Table
Click to see full alt table
StatusAccuracyProgram
53.1%
(/.f64 (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (neg.f64 y)) #s(approx (/ -1 (sin y)) (fma.f64 y #s(literal -1/6 binary64) (/.f64 #s(literal -1 binary64) y))))
52.4%
(/.f64 (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (neg.f64 y)) #s(approx (/ -1 (sin y)) (/.f64 #s(literal -1 binary64) y)))
36.6%
(/.f64 (*.f64 (/.f64 (neg.f64 #s(approx (cosh x) #s(literal 1 binary64))) y) (neg.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (sin.f64 y))
48.4%
(/.f64 #s(approx (cosh x) #s(literal 1 binary64)) (/.f64 y (sin.f64 y)))
48.3%
(/.f64 #s(approx (cosh x) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) (neg.f64 y)))
28.8%
(/.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ y (sin y)) (fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
28.8%
(/.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
99.4%
(*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y))
93.2%
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) y) (sin.f64 y))
88.6%
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) y) (sin.f64 y))
78.6%
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) y) (sin.f64 y))
48.3%
(*.f64 (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) y) (sin.f64 y))
99.8%
(*.f64 (cosh.f64 x) (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (sin.f64 y))))
65.5%
(*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
65.0%
(*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
58.3%
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
89.9%
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (sin.f64 y))))
60.8%
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
59.8%
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
55.0%
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
84.1%
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y))
58.3%
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
70.7%
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y))
52.0%
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
49.8%
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
51.2%
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
44.3%
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
58.3%
(*.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
25.8%
(*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) (/.f64 (sin.f64 y) y))
39.6%
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
36.6%
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
34.8%
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))))
28.0%
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
48.4%
#s(approx (/ (/ (cosh x) (neg y)) (/ -1 (sin y))) (/.f64 (sin.f64 y) y))
Compiler

Compiled 976 to 728 computations (25.4% saved)

simplify67.0ms (0.7%)

Memory
-15.9MiB live, 62.9MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))
cost-diff0
#s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))
cost-diff0
(cosh.f64 x)
cost-diff0
(*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
cost-diff0
(fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
cost-diff0
#s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
cost-diff0
(/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (neg.f64 y))
cost-diff0
(/.f64 (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (neg.f64 y)) #s(approx (/ -1 (sin y)) (/.f64 #s(literal -1 binary64) y)))
cost-diff0
(fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))
cost-diff0
#s(approx (/ y (sin y)) (fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))
cost-diff0
#s(approx (cosh x) #s(literal 1 binary64))
cost-diff0
(/.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ y (sin y)) (fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
cost-diff0
(fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))
cost-diff0
#s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))
cost-diff0
#s(approx (cosh x) #s(literal 1 binary64))
cost-diff0
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))))
cost-diff0
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
cost-diff0
#s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
cost-diff0
(/.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) y)
cost-diff0
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) y) (sin.f64 y))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
043325
074325
1126325
2196325
3387325
4680325
5903325
61032325
71255325
81537325
91562325
101570325
111577325
121577325
131580325
141584325
151584325
01584325
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) y) (sin.f64 y))
(/.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) y)
#s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))
#s(literal 1/720 binary64)
(*.f64 x x)
x
#s(literal 1/24 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
y
(sin.f64 y)
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))))
#s(approx (cosh x) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))
(*.f64 y y)
y
#s(literal -1/6 binary64)
(/.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ y (sin y)) (fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
#s(approx (cosh x) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (/ y (sin y)) (fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))
(fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64))
#s(literal 7/360 binary64)
(*.f64 y y)
y
#s(literal 1/6 binary64)
(/.f64 (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (neg.f64 y)) #s(approx (/ -1 (sin y)) (/.f64 #s(literal -1 binary64) y)))
(/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (neg.f64 y))
#s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
#s(literal 1/2 binary64)
(*.f64 x x)
x
#s(literal 1 binary64)
(neg.f64 y)
y
#s(approx (/ -1 (sin y)) (/.f64 #s(literal -1 binary64) y))
(/.f64 #s(literal -1 binary64) y)
#s(literal -1 binary64)
(*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(cosh.f64 x)
x
#s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))
(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))
#s(literal -1/6 binary64)
(*.f64 y y)
y
#s(literal 1 binary64)
Outputs
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) y) (sin.f64 y))
(*.f64 (/.f64 (sin.f64 y) y) #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
(/.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) y)
(/.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) y)
#s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))
#s(literal 1/720 binary64)
(*.f64 x x)
x
#s(literal 1/24 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
y
(sin.f64 y)
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) #s(approx (cosh x) #s(literal 1 binary64)))
#s(approx (cosh x) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))
#s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))
(fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))
(*.f64 y y)
y
#s(literal -1/6 binary64)
(/.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ y (sin y)) (fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
#s(approx (cosh x) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (/ y (sin y)) (fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))
(fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64))
#s(literal 7/360 binary64)
(*.f64 y y)
y
#s(literal 1/6 binary64)
(/.f64 (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (neg.f64 y)) #s(approx (/ -1 (sin y)) (/.f64 #s(literal -1 binary64) y)))
(/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (neg.f64 y))
#s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
#s(literal 1/2 binary64)
(*.f64 x x)
x
#s(literal 1 binary64)
(neg.f64 y)
y
#s(approx (/ -1 (sin y)) (/.f64 #s(literal -1 binary64) y))
(/.f64 #s(literal -1 binary64) y)
#s(literal -1 binary64)
(*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) (cosh.f64 x))
(cosh.f64 x)
x
#s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))
(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))
#s(literal -1/6 binary64)
(*.f64 y y)
y
#s(literal 1 binary64)

localize302.0ms (3.2%)

Memory
1.6MiB live, 197.5MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.00390625
(cosh.f64 x)
accuracy0.0078125
(*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
accuracy0.08203125
(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))
accuracy30.218000417531275
#s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))
accuracy0.015625
(/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (neg.f64 y))
accuracy0.33967551336278223
(/.f64 (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (neg.f64 y)) #s(approx (/ -1 (sin y)) (/.f64 #s(literal -1 binary64) y)))
accuracy18.548769726941867
#s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
accuracy29.766315987846646
#s(approx (/ -1 (sin y)) (/.f64 #s(literal -1 binary64) y))
accuracy0.05078125
(fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))
accuracy0.08203125
(/.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ y (sin y)) (fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
accuracy29.753478393261876
#s(approx (/ y (sin y)) (fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))
accuracy32.82214855057702
#s(approx (cosh x) #s(literal 1 binary64))
accuracy0.0078125
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))))
accuracy0.08203125
(fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))
accuracy30.218000417531275
#s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))
accuracy32.82214855057702
#s(approx (cosh x) #s(literal 1 binary64))
accuracy0.05078125
(fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))
accuracy0.1015625
(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))
accuracy0.38264426336278223
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) y) (sin.f64 y))
accuracy6.244679729086756
#s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
Samples
168.0ms256×0valid
Compiler

Compiled 472 to 81 computations (82.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 114.0ms
ival-mult: 67.0ms (58.5% of total)
const: 15.0ms (13.1% of total)
ival-div: 13.0ms (11.4% of total)
ival-add: 9.0ms (7.9% of total)
ival-sin: 6.0ms (5.2% of total)
ival-cosh: 3.0ms (2.6% of total)
ival-neg: 1.0ms (0.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series39.0ms (0.4%)

Memory
1.0MiB live, 51.4MiB allocated
Counts
22 → 348
Calls
Call 1
Inputs
#s(alt (*.f64 (/.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) y) (sin.f64 y)) (patch (*.f64 (/.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) y) (sin.f64 y)) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) y) (patch (/.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) y) #<representation binary64>) () ())
#s(alt #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (patch #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) (patch (*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (cosh x) #s(literal 1 binary64)) (patch #s(approx (cosh x) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))) (patch #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) (patch (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ y (sin y)) (fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) (patch (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ y (sin y)) (fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (/ y (sin y)) (fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) (patch #s(approx (/ y (sin y)) (fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (neg.f64 y)) #s(approx (/ -1 (sin y)) (/.f64 #s(literal -1 binary64) y))) (patch (/.f64 (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (neg.f64 y)) #s(approx (/ -1 (sin y)) (/.f64 #s(literal -1 binary64) y))) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (neg.f64 y)) (patch (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (neg.f64 y)) #<representation binary64>) () ())
#s(alt #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (patch #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (patch (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) (patch (*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt (cosh.f64 x) (patch (cosh.f64 x) #<representation binary64>) () ())
#s(alt #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) (patch #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (patch (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (patch (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (/ -1 (sin y)) (/.f64 #s(literal -1 binary64) y)) (patch #s(approx (/ -1 (sin y)) (/.f64 #s(literal -1 binary64) y)) #<representation binary64>) () ())
Outputs
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#s(alt (* -1/2 (/ (+ (exp x) (/ 1 (exp x))) y)) (taylor -inf x) (#s(alt (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (neg.f64 y)) (patch (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (neg.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (+ (exp x) (/ 1 (exp x)))) (taylor -inf x) (#s(alt #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (patch #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (+ (exp x) (/ 1 (exp x)))) (taylor -inf x) (#s(alt #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (patch #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (+ (exp x) (/ 1 (exp x)))) (taylor -inf x) (#s(alt #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (patch #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (+ (exp x) (/ 1 (exp x)))) (taylor -inf x) (#s(alt #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (patch #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (pow x 2)) (taylor -inf x) (#s(alt (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (patch (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/2 (/ 1 (pow x 2)))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (patch (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/2 (/ 1 (pow x 2)))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (patch (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/2 (/ 1 (pow x 2)))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (patch (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) (taylor -inf x) (#s(alt (*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) (patch (*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) (taylor -inf x) (#s(alt (*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) (patch (*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) (taylor -inf x) (#s(alt (*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) (patch (*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) (taylor -inf x) (#s(alt (*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) (patch (*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (+ (exp x) (/ 1 (exp x)))) (taylor -inf x) (#s(alt (cosh.f64 x) (patch (cosh.f64 x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (+ (exp x) (/ 1 (exp x)))) (taylor -inf x) (#s(alt (cosh.f64 x) (patch (cosh.f64 x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (+ (exp x) (/ 1 (exp x)))) (taylor -inf x) (#s(alt (cosh.f64 x) (patch (cosh.f64 x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (+ (exp x) (/ 1 (exp x)))) (taylor -inf x) (#s(alt (cosh.f64 x) (patch (cosh.f64 x) #<representation binary64>) () ())) ())
#s(alt (* 1/720 (pow x 2)) (taylor -inf x) (#s(alt (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (patch (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (patch (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (patch (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (patch (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/720 (pow x 4)) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2)))))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2)))))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
Calls

6 calls:

TimeVariablePointExpression
16.0ms
x
@-inf
((* (/ (cosh x) y) (sin y)) (/ (cosh x) y) (cosh x) (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (* (cosh x) (/ (sin y) y)) (cosh x) (/ (sin y) y) (+ (* (* y y) -1/6) 1) (/ (cosh x) (/ y (sin y))) (/ y (sin y)) (+ (* (+ (* 7/360 (* y y)) 1/6) (* y y)) 1) (/ (/ (cosh x) (neg y)) (/ -1 (sin y))) (/ (cosh x) (neg y)) (cosh x) (+ (* 1/2 (* x x)) 1) (* (cosh x) (/ (sin y) y)) (cosh x) (/ (sin y) y) (+ (* -1/6 (* y y)) 1) (+ (* 1/720 (* x x)) 1/24) (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (/ -1 (sin y)))
2.0ms
y
@-inf
((* (/ (cosh x) y) (sin y)) (/ (cosh x) y) (cosh x) (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (* (cosh x) (/ (sin y) y)) (cosh x) (/ (sin y) y) (+ (* (* y y) -1/6) 1) (/ (cosh x) (/ y (sin y))) (/ y (sin y)) (+ (* (+ (* 7/360 (* y y)) 1/6) (* y y)) 1) (/ (/ (cosh x) (neg y)) (/ -1 (sin y))) (/ (cosh x) (neg y)) (cosh x) (+ (* 1/2 (* x x)) 1) (* (cosh x) (/ (sin y) y)) (cosh x) (/ (sin y) y) (+ (* -1/6 (* y y)) 1) (+ (* 1/720 (* x x)) 1/24) (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (/ -1 (sin y)))
2.0ms
y
@inf
((* (/ (cosh x) y) (sin y)) (/ (cosh x) y) (cosh x) (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (* (cosh x) (/ (sin y) y)) (cosh x) (/ (sin y) y) (+ (* (* y y) -1/6) 1) (/ (cosh x) (/ y (sin y))) (/ y (sin y)) (+ (* (+ (* 7/360 (* y y)) 1/6) (* y y)) 1) (/ (/ (cosh x) (neg y)) (/ -1 (sin y))) (/ (cosh x) (neg y)) (cosh x) (+ (* 1/2 (* x x)) 1) (* (cosh x) (/ (sin y) y)) (cosh x) (/ (sin y) y) (+ (* -1/6 (* y y)) 1) (+ (* 1/720 (* x x)) 1/24) (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (/ -1 (sin y)))
2.0ms
x
@inf
((* (/ (cosh x) y) (sin y)) (/ (cosh x) y) (cosh x) (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (* (cosh x) (/ (sin y) y)) (cosh x) (/ (sin y) y) (+ (* (* y y) -1/6) 1) (/ (cosh x) (/ y (sin y))) (/ y (sin y)) (+ (* (+ (* 7/360 (* y y)) 1/6) (* y y)) 1) (/ (/ (cosh x) (neg y)) (/ -1 (sin y))) (/ (cosh x) (neg y)) (cosh x) (+ (* 1/2 (* x x)) 1) (* (cosh x) (/ (sin y) y)) (cosh x) (/ (sin y) y) (+ (* -1/6 (* y y)) 1) (+ (* 1/720 (* x x)) 1/24) (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (/ -1 (sin y)))
1.0ms
y
@0
((* (/ (cosh x) y) (sin y)) (/ (cosh x) y) (cosh x) (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (* (cosh x) (/ (sin y) y)) (cosh x) (/ (sin y) y) (+ (* (* y y) -1/6) 1) (/ (cosh x) (/ y (sin y))) (/ y (sin y)) (+ (* (+ (* 7/360 (* y y)) 1/6) (* y y)) 1) (/ (/ (cosh x) (neg y)) (/ -1 (sin y))) (/ (cosh x) (neg y)) (cosh x) (+ (* 1/2 (* x x)) 1) (* (cosh x) (/ (sin y) y)) (cosh x) (/ (sin y) y) (+ (* -1/6 (* y y)) 1) (+ (* 1/720 (* x x)) 1/24) (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (/ -1 (sin y)))

simplify267.0ms (2.8%)

Memory
-4.9MiB live, 224.9MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01843932
15463812
216733700
346353593
082143403
Stop Event
iter limit
node limit
Counts
348 → 348
Calls
Call 1
Inputs
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(+ (* -1/12 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/2 (+ (exp x) (/ 1 (exp x)))))
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* 1/240 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))))))
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/10080 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/240 (+ (exp x) (/ 1 (exp x)))))))))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(+ (* -1/12 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/2 (+ (exp x) (/ 1 (exp x)))))
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* 1/240 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))))))
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/10080 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/240 (+ (exp x) (/ 1 (exp x)))))))))
1
(+ 1 (* -1/6 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))
1
(+ 1 (* -1/6 (pow y 2)))
(+ 1 (* -1/6 (pow y 2)))
(+ 1 (* -1/6 (pow y 2)))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(+ (* -1/12 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/2 (+ (exp x) (/ 1 (exp x)))))
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* 1/240 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))))))
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/10080 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/240 (+ (exp x) (/ 1 (exp x)))))))))
1
(+ 1 (* 1/6 (pow y 2)))
(+ 1 (* (pow y 2) (+ 1/6 (* 7/360 (pow y 2)))))
(+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 7/360 (* 31/15120 (pow y 2)))))))
1
(+ 1 (* 1/6 (pow y 2)))
(+ 1 (* (pow y 2) (+ 1/6 (* 7/360 (pow y 2)))))
(+ 1 (* (pow y 2) (+ 1/6 (* 7/360 (pow y 2)))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(+ (* -1/12 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/2 (+ (exp x) (/ 1 (exp x)))))
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* 1/240 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))))))
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/10080 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/240 (+ (exp x) (/ 1 (exp x)))))))))
(* -1/2 (/ (+ (exp x) (/ 1 (exp x))) y))
(* -1/2 (/ (+ (exp x) (/ 1 (exp x))) y))
(* -1/2 (/ (+ (exp x) (/ 1 (exp x))) y))
(* -1/2 (/ (+ (exp x) (/ 1 (exp x))) y))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(+ (* -1/12 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/2 (+ (exp x) (/ 1 (exp x)))))
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* 1/240 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))))))
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/10080 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/240 (+ (exp x) (/ 1 (exp x)))))))))
1
(+ 1 (* -1/6 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))
1
(+ 1 (* -1/6 (pow y 2)))
(+ 1 (* -1/6 (pow y 2)))
(+ 1 (* -1/6 (pow y 2)))
(/ -1 y)
(/ (- (* -1/6 (pow y 2)) 1) y)
(/ (- (* (pow y 2) (- (* -7/360 (pow y 2)) 1/6)) 1) y)
(/ (- (* (pow y 2) (- (* (pow y 2) (- (* -31/15120 (pow y 2)) 7/360)) 1/6)) 1) y)
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
(* -1/6 (pow y 2))
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6))
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6))
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(/ y (sin y))
(/ y (sin y))
(/ y (sin y))
(/ y (sin y))
(* 7/360 (pow y 4))
(* (pow y 4) (+ 7/360 (* 1/6 (/ 1 (pow y 2)))))
(* (pow y 4) (+ 7/360 (+ (* 1/6 (/ 1 (pow y 2))) (/ 1 (pow y 4)))))
(* (pow y 4) (+ 7/360 (+ (* 1/6 (/ 1 (pow y 2))) (/ 1 (pow y 4)))))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* -1/2 (/ (+ (exp x) (/ 1 (exp x))) y))
(* -1/2 (/ (+ (exp x) (/ 1 (exp x))) y))
(* -1/2 (/ (+ (exp x) (/ 1 (exp x))) y))
(* -1/2 (/ (+ (exp x) (/ 1 (exp x))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
(* -1/6 (pow y 2))
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6))
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6))
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6))
(/ -1 (sin y))
(/ -1 (sin y))
(/ -1 (sin y))
(/ -1 (sin y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
(* -1/6 (pow y 2))
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6))
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6))
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(/ y (sin y))
(/ y (sin y))
(/ y (sin y))
(/ y (sin y))
(* 7/360 (pow y 4))
(* (pow y 4) (+ 7/360 (* 1/6 (/ 1 (pow y 2)))))
(* (pow y 4) (+ 7/360 (+ (* 1/6 (/ 1 (pow y 2))) (/ 1 (pow y 4)))))
(* (pow y 4) (+ 7/360 (+ (* 1/6 (/ 1 (pow y 2))) (/ 1 (pow y 4)))))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* -1/2 (/ (+ (exp x) (/ 1 (exp x))) y))
(* -1/2 (/ (+ (exp x) (/ 1 (exp x))) y))
(* -1/2 (/ (+ (exp x) (/ 1 (exp x))) y))
(* -1/2 (/ (+ (exp x) (/ 1 (exp x))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
(* -1/6 (pow y 2))
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6))
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6))
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6))
(/ -1 (sin y))
(/ -1 (sin y))
(/ -1 (sin y))
(/ -1 (sin y))
(/ (sin y) y)
(+ (* 1/2 (/ (* (pow x 2) (sin y)) y)) (/ (sin y) y))
(+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) (sin y)) y)) (* 1/2 (/ (sin y) y)))) (/ (sin y) y))
(+ (* (pow x 2) (+ (* 1/2 (/ (sin y) y)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) (sin y)) y)) (* 1/24 (/ (sin y) y)))))) (/ (sin y) y))
(/ 1 y)
(+ (* 1/2 (/ (pow x 2) y)) (/ 1 y))
(+ (* (pow x 2) (+ (* 1/24 (/ (pow x 2) y)) (* 1/2 (/ 1 y)))) (/ 1 y))
(+ (* (pow x 2) (+ (* (pow x 2) (+ (* 1/720 (/ (pow x 2) y)) (* 1/24 (/ 1 y)))) (* 1/2 (/ 1 y)))) (/ 1 y))
1
(+ 1 (* 1/2 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))
1
(+ 1 (* 1/2 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))
(/ (sin y) y)
(+ (* 1/2 (/ (* (pow x 2) (sin y)) y)) (/ (sin y) y))
(+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) (sin y)) y)) (* 1/2 (/ (sin y) y)))) (/ (sin y) y))
(+ (* (pow x 2) (+ (* 1/2 (/ (sin y) y)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) (sin y)) y)) (* 1/24 (/ (sin y) y)))))) (/ (sin y) y))
1
(+ 1 (* 1/2 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))
(/ (sin y) y)
(+ (* 1/2 (/ (* (pow x 2) (sin y)) y)) (/ (sin y) y))
(+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) (sin y)) y)) (* 1/2 (/ (sin y) y)))) (/ (sin y) y))
(+ (* (pow x 2) (+ (* 1/2 (/ (sin y) y)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) (sin y)) y)) (* 1/24 (/ (sin y) y)))))) (/ (sin y) y))
(/ (sin y) y)
(+ (* 1/2 (/ (* (pow x 2) (sin y)) y)) (/ (sin y) y))
(+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) (sin y)) y)) (* 1/2 (/ (sin y) y)))) (/ (sin y) y))
(+ (* (pow x 2) (+ (* 1/2 (/ (sin y) y)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) (sin y)) y)) (* 1/24 (/ (sin y) y)))))) (/ (sin y) y))
(/ -1 y)
(- (* -1/2 (/ (pow x 2) y)) (/ 1 y))
(- (* (pow x 2) (- (* -1/24 (/ (pow x 2) y)) (* 1/2 (/ 1 y)))) (/ 1 y))
(- (* (pow x 2) (- (* (pow x 2) (- (* -1/720 (/ (pow x 2) y)) (* 1/24 (/ 1 y)))) (* 1/2 (/ 1 y)))) (/ 1 y))
1
(+ 1 (* 1/2 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))
1
(+ 1 (* 1/2 (pow x 2)))
(+ 1 (* 1/2 (pow x 2)))
(+ 1 (* 1/2 (pow x 2)))
(/ (sin y) y)
(+ (* 1/2 (/ (* (pow x 2) (sin y)) y)) (/ (sin y) y))
(+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) (sin y)) y)) (* 1/2 (/ (sin y) y)))) (/ (sin y) y))
(+ (* (pow x 2) (+ (* 1/2 (/ (sin y) y)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) (sin y)) y)) (* 1/24 (/ (sin y) y)))))) (/ (sin y) y))
1
(+ 1 (* 1/2 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))
1/24
(+ 1/24 (* 1/720 (pow x 2)))
(+ 1/24 (* 1/720 (pow x 2)))
(+ 1/24 (* 1/720 (pow x 2)))
1/2
(+ 1/2 (* 1/24 (pow x 2)))
(+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))
(+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/720 (pow x 6))
(* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* -1/2 (/ (+ (exp x) (/ 1 (exp x))) y))
(* -1/2 (/ (+ (exp x) (/ 1 (exp x))) y))
(* -1/2 (/ (+ (exp x) (/ 1 (exp x))) y))
(* -1/2 (/ (+ (exp x) (/ 1 (exp x))) y))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2))))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/720 (pow x 2))
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* 1/720 (pow x 4))
(* (pow x 4) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(* (pow x 4) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/720 (pow x 6))
(* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* -1/2 (/ (+ (exp x) (/ 1 (exp x))) y))
(* -1/2 (/ (+ (exp x) (/ 1 (exp x))) y))
(* -1/2 (/ (+ (exp x) (/ 1 (exp x))) y))
(* -1/2 (/ (+ (exp x) (/ 1 (exp x))) y))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2))))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/720 (pow x 2))
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* 1/720 (pow x 4))
(* (pow x 4) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(* (pow x 4) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
Outputs
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64))
(+ (* -1/12 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/2 (+ (exp x) (/ 1 (exp x)))))
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* 1/240 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))))))
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/240 binary64) (fma.f64 (*.f64 y y) #s(literal -1/12 binary64) #s(literal 1/2 binary64))))
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/10080 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/240 (+ (exp x) (/ 1 (exp x)))))))))
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 y y) #s(literal 1/240 binary64)) (pow.f64 y #s(literal 4 binary64)) (fma.f64 (*.f64 y y) #s(literal -1/12 binary64) #s(literal 1/2 binary64))))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64))
(+ (* -1/12 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/2 (+ (exp x) (/ 1 (exp x)))))
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* 1/240 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))))))
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/240 binary64) (fma.f64 (*.f64 y y) #s(literal -1/12 binary64) #s(literal 1/2 binary64))))
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/10080 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/240 (+ (exp x) (/ 1 (exp x)))))))))
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 y y) #s(literal 1/240 binary64)) (pow.f64 y #s(literal 4 binary64)) (fma.f64 (*.f64 y y) #s(literal -1/12 binary64) #s(literal 1/2 binary64))))
1
#s(literal 1 binary64)
(+ 1 (* -1/6 (pow y 2)))
(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -1/6 (pow y 2)))
(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))
(+ 1 (* -1/6 (pow y 2)))
(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))
(+ 1 (* -1/6 (pow y 2)))
(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64))
(+ (* -1/12 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/2 (+ (exp x) (/ 1 (exp x)))))
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* 1/240 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))))))
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/240 binary64) (fma.f64 (*.f64 y y) #s(literal -1/12 binary64) #s(literal 1/2 binary64))))
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/10080 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/240 (+ (exp x) (/ 1 (exp x)))))))))
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 y y) #s(literal 1/240 binary64)) (pow.f64 y #s(literal 4 binary64)) (fma.f64 (*.f64 y y) #s(literal -1/12 binary64) #s(literal 1/2 binary64))))
1
#s(literal 1 binary64)
(+ 1 (* 1/6 (pow y 2)))
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (+ 1/6 (* 7/360 (pow y 2)))))
(fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 7/360 (* 31/15120 (pow y 2)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 31/15120 binary64) (*.f64 y y) #s(literal 7/360 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* 1/6 (pow y 2)))
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (+ 1/6 (* 7/360 (pow y 2)))))
(fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (+ 1/6 (* 7/360 (pow y 2)))))
(fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64))
(+ (* -1/12 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/2 (+ (exp x) (/ 1 (exp x)))))
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* 1/240 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))))))
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/240 binary64) (fma.f64 (*.f64 y y) #s(literal -1/12 binary64) #s(literal 1/2 binary64))))
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/10080 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/240 (+ (exp x) (/ 1 (exp x)))))))))
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 y y) #s(literal 1/240 binary64)) (pow.f64 y #s(literal 4 binary64)) (fma.f64 (*.f64 y y) #s(literal -1/12 binary64) #s(literal 1/2 binary64))))
(* -1/2 (/ (+ (exp x) (/ 1 (exp x))) y))
(*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y))
(* -1/2 (/ (+ (exp x) (/ 1 (exp x))) y))
(*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y))
(* -1/2 (/ (+ (exp x) (/ 1 (exp x))) y))
(*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y))
(* -1/2 (/ (+ (exp x) (/ 1 (exp x))) y))
(*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
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(*.f64 (*.f64 (sin.f64 y) #s(literal 1/2 binary64)) (/.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(*.f64 (*.f64 (sin.f64 y) #s(literal 1/2 binary64)) (/.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(*.f64 (*.f64 (sin.f64 y) #s(literal 1/2 binary64)) (/.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(*.f64 (*.f64 (sin.f64 y) #s(literal 1/2 binary64)) (/.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64))
(* 1/720 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/720 binary64))
(* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(*.f64 (+.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/720 binary64)) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/720 binary64)) (/.f64 #s(literal 1/24 binary64) (*.f64 x x))) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(fma.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/720 binary64)) (/.f64 #s(literal 1/24 binary64) (*.f64 x x))) (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(*.f64 (*.f64 (sin.f64 y) #s(literal 1/2 binary64)) (/.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(*.f64 (*.f64 (sin.f64 y) #s(literal 1/2 binary64)) (/.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(*.f64 (*.f64 (sin.f64 y) #s(literal 1/2 binary64)) (/.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(*.f64 (*.f64 (sin.f64 y) #s(literal 1/2 binary64)) (/.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(*.f64 (*.f64 (sin.f64 y) #s(literal 1/2 binary64)) (/.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(*.f64 (*.f64 (sin.f64 y) #s(literal 1/2 binary64)) (/.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(*.f64 (*.f64 (sin.f64 y) #s(literal 1/2 binary64)) (/.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(*.f64 (*.f64 (sin.f64 y) #s(literal 1/2 binary64)) (/.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(*.f64 (*.f64 (sin.f64 y) #s(literal 1/2 binary64)) (/.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(*.f64 (*.f64 (sin.f64 y) #s(literal 1/2 binary64)) (/.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(*.f64 (*.f64 (sin.f64 y) #s(literal 1/2 binary64)) (/.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(*.f64 (*.f64 (sin.f64 y) #s(literal 1/2 binary64)) (/.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y))
(* -1/2 (/ (+ (exp x) (/ 1 (exp x))) y))
(*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y))
(* -1/2 (/ (+ (exp x) (/ 1 (exp x))) y))
(*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y))
(* -1/2 (/ (+ (exp x) (/ 1 (exp x))) y))
(*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y))
(* -1/2 (/ (+ (exp x) (/ 1 (exp x))) y))
(*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64))
(* 1/2 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/2 binary64))
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2))))
(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2))))
(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2))))
(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(*.f64 (*.f64 (sin.f64 y) #s(literal 1/2 binary64)) (/.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(*.f64 (*.f64 (sin.f64 y) #s(literal 1/2 binary64)) (/.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(*.f64 (*.f64 (sin.f64 y) #s(literal 1/2 binary64)) (/.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y))
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))
(*.f64 (*.f64 (sin.f64 y) #s(literal 1/2 binary64)) (/.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64))
(* 1/720 (pow x 2))
(*.f64 #s(literal 1/720 binary64) (*.f64 x x))
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))
(* 1/720 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/720 binary64))
(* (pow x 4) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x)
(* (pow x 4) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(fma.f64 (*.f64 #s(literal 1/24 binary64) x) x (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/720 binary64)) (pow.f64 x #s(literal 4 binary64))))
(* (pow x 4) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(fma.f64 (*.f64 #s(literal 1/24 binary64) x) x (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/720 binary64)) (pow.f64 x #s(literal 4 binary64))))

rewrite478.0ms (5%)

Memory
20.7MiB live, 218.6MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
043271
074271
1269271
21555271
08349271
Stop Event
iter limit
node limit
iter limit
Counts
22 → 510
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) y) (sin.f64 y))
(/.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) y)
#s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))))
#s(approx (cosh x) #s(literal 1 binary64))
#s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))
(/.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ y (sin y)) (fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
#s(approx (/ y (sin y)) (fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))
(/.f64 (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (neg.f64 y)) #s(approx (/ -1 (sin y)) (/.f64 #s(literal -1 binary64) y)))
(/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (neg.f64 y))
#s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(cosh.f64 x)
#s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))
(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))
(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))
(fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))
#s(approx (/ -1 (sin y)) (/.f64 #s(literal -1 binary64) y))
Outputs
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eval499.0ms (5.2%)

Memory
-11.3MiB live, 275.6MiB allocated
Compiler

Compiled 19 945 to 2 327 computations (88.3% saved)

prune184.0ms (1.9%)

Memory
-13.7MiB live, 110.1MiB allocated
Pruning

34 alts after pruning (28 fresh and 6 done)

PrunedKeptTotal
New86510875
Fresh51823
Picked505
Done066
Total87534909
Accuracy
100.0%
Counts
909 → 34
Alt Table
Click to see full alt table
StatusAccuracyProgram
53.1%
(/.f64 (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (neg.f64 y)) #s(approx (/ -1 (sin y)) (fma.f64 y #s(literal -1/6 binary64) (/.f64 #s(literal -1 binary64) y))))
28.0%
(/.f64 (/.f64 #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) (neg.f64 y)) #s(approx (/ -1 (sin y)) (/.f64 #s(literal -1 binary64) y)))
36.6%
(/.f64 (*.f64 (/.f64 (neg.f64 #s(approx (cosh x) #s(literal 1 binary64))) y) (neg.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (sin.f64 y))
48.4%
(/.f64 #s(approx (cosh x) #s(literal 1 binary64)) (/.f64 y (sin.f64 y)))
48.3%
(/.f64 #s(approx (cosh x) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) (neg.f64 y)))
28.8%
(/.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
17.9%
(/.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ y (sin y)) #s(approx (+ (* (+ (* 7/360 (* y y)) 1/6) (* y y)) 1) (*.f64 (*.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) y))))
99.4%
(*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y))
88.6%
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) y) (sin.f64 y))
93.2%
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) y) (sin.f64 y))
78.6%
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) y) (sin.f64 y))
92.4%
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64))) y) (sin.f64 y))
48.3%
(*.f64 (/.f64 #s(approx (cosh x) #s(approx (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) #s(literal 1 binary64))) y) (sin.f64 y))
99.8%
(*.f64 (cosh.f64 x) (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (sin.f64 y))))
14.4%
(*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 y y)))))
65.0%
(*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
58.3%
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
60.8%
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
59.8%
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
55.0%
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
84.1%
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y))
70.7%
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y))
52.0%
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
49.8%
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
51.2%
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))))
44.3%
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
58.3%
(*.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
25.8%
(*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) (/.f64 (sin.f64 y) y))
39.6%
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
36.6%
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
34.8%
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64))))
8.9%
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(approx (+ (* (* y y) -1/6) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 y y)))))
28.0%
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
48.4%
#s(approx (/ (/ (cosh x) (neg y)) (/ -1 (sin y))) (/.f64 (sin.f64 y) y))
Compiler

Compiled 1 326 to 571 computations (56.9% saved)

regimes133.0ms (1.4%)

Memory
10.8MiB live, 168.3MiB allocated
Counts
58 → 1
Calls
Call 1
Inputs
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(approx (+ (* (* y y) -1/6) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 y y)))))
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(/.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(/.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ y (sin y)) #s(approx (+ (* (+ (* 7/360 (* y y)) 1/6) (* y y)) 1) (*.f64 (*.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) y))))
(/.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ y (sin y)) (fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(/.f64 (/.f64 #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) (neg.f64 y)) #s(approx (/ -1 (sin y)) (/.f64 #s(literal -1 binary64) y)))
(/.f64 (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (neg.f64 y)) #s(approx (/ -1 (sin y)) (/.f64 #s(literal -1 binary64) y)))
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(/.f64 (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (neg.f64 y)) #s(approx (/ -1 (sin y)) (fma.f64 y #s(literal -1/6 binary64) (/.f64 #s(literal -1 binary64) y))))
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
#s(approx (* (cosh x) (/ (sin y) y)) (/.f64 (sin.f64 y) y))
#s(approx (/ (cosh x) (/ y (sin y))) (/.f64 (sin.f64 y) y))
#s(approx (/ (/ (cosh x) (neg y)) (/ -1 (sin y))) (/.f64 (sin.f64 y) y))
(*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 y y)))))
(*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) y) (sin.f64 y))
(*.f64 (/.f64 #s(approx (cosh x) #s(approx (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) #s(literal 1 binary64))) y) (sin.f64 y))
(/.f64 #s(approx (cosh x) #s(literal 1 binary64)) (/.f64 y (sin.f64 y)))
(*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) (/.f64 (sin.f64 y) y))
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y))
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) y) (sin.f64 y))
(/.f64 #s(approx (cosh x) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) (neg.f64 y)))
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y))
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) y) (sin.f64 y))
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) y) (sin.f64 y))
(/.f64 (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (neg.f64 y)) (/.f64 #s(literal -1 binary64) (sin.f64 y)))
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64))) y) (sin.f64 y))
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y))
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) y) (sin.f64 y))
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) y) (sin.f64 y))
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (sin.f64 y))))
(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
(*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y))
(/.f64 #s(literal -1 binary64) (*.f64 (pow.f64 (sin.f64 y) #s(literal -1 binary64)) #s(approx (/ (neg y) (cosh x)) (neg.f64 y))))
(/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))
(*.f64 (cosh.f64 x) (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (sin.f64 y))))
(/.f64 (/.f64 (neg.f64 (cosh.f64 x)) y) (/.f64 #s(literal -1 binary64) (sin.f64 y)))
(/.f64 #s(literal -1 binary64) (*.f64 (pow.f64 (sin.f64 y) #s(literal -1 binary64)) (/.f64 (neg.f64 y) (cosh.f64 x))))
(/.f64 (*.f64 (/.f64 (neg.f64 #s(approx (cosh x) #s(literal 1 binary64))) y) (neg.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (sin.f64 y))
(/.f64 (cosh.f64 x) (/.f64 (neg.f64 (pow.f64 y #s(literal 3 binary64))) (*.f64 (neg.f64 (sin.f64 y)) (*.f64 y y))))
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (sin.f64 y) (cosh.f64 x))))
(/.f64 (*.f64 (/.f64 (neg.f64 (cosh.f64 x)) y) (neg.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (sin.f64 y))
Outputs
(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
Calls

5 calls:

67.0ms
(/.f64 (sin.f64 y) y)
17.0ms
x
16.0ms
(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
16.0ms
y
13.0ms
(cosh.f64 x)
Results
AccuracySegmentsBranch
99.9%1x
99.9%1y
99.9%1(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
99.9%1(cosh.f64 x)
99.9%1(/.f64 (sin.f64 y) y)
Compiler

Compiled 15 to 17 computations (-13.3% saved)

regimes71.0ms (0.7%)

Memory
2.4MiB live, 122.7MiB allocated
Counts
47 → 3
Calls
Call 1
Inputs
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(approx (+ (* (* y y) -1/6) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 y y)))))
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(/.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(/.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ y (sin y)) #s(approx (+ (* (+ (* 7/360 (* y y)) 1/6) (* y y)) 1) (*.f64 (*.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) y))))
(/.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ y (sin y)) (fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(/.f64 (/.f64 #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) (neg.f64 y)) #s(approx (/ -1 (sin y)) (/.f64 #s(literal -1 binary64) y)))
(/.f64 (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (neg.f64 y)) #s(approx (/ -1 (sin y)) (/.f64 #s(literal -1 binary64) y)))
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(/.f64 (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (neg.f64 y)) #s(approx (/ -1 (sin y)) (fma.f64 y #s(literal -1/6 binary64) (/.f64 #s(literal -1 binary64) y))))
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
#s(approx (* (cosh x) (/ (sin y) y)) (/.f64 (sin.f64 y) y))
#s(approx (/ (cosh x) (/ y (sin y))) (/.f64 (sin.f64 y) y))
#s(approx (/ (/ (cosh x) (neg y)) (/ -1 (sin y))) (/.f64 (sin.f64 y) y))
(*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 y y)))))
(*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) y) (sin.f64 y))
(*.f64 (/.f64 #s(approx (cosh x) #s(approx (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) #s(literal 1 binary64))) y) (sin.f64 y))
(/.f64 #s(approx (cosh x) #s(literal 1 binary64)) (/.f64 y (sin.f64 y)))
(*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) (/.f64 (sin.f64 y) y))
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y))
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) y) (sin.f64 y))
(/.f64 #s(approx (cosh x) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) (neg.f64 y)))
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y))
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) y) (sin.f64 y))
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) y) (sin.f64 y))
(/.f64 (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (neg.f64 y)) (/.f64 #s(literal -1 binary64) (sin.f64 y)))
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64))) y) (sin.f64 y))
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y))
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) y) (sin.f64 y))
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) y) (sin.f64 y))
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (sin.f64 y))))
Outputs
(*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 y y)))))
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y))
(*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
Calls

5 calls:

16.0ms
y
15.0ms
(/.f64 (sin.f64 y) y)
13.0ms
(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
13.0ms
x
10.0ms
(cosh.f64 x)
Results
AccuracySegmentsBranch
97.0%3x
93.2%1y
99.4%3(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
93.2%1(cosh.f64 x)
93.2%1(/.f64 (sin.f64 y) y)
Compiler

Compiled 15 to 17 computations (-13.3% saved)

regimes16.0ms (0.2%)

Memory
-6.8MiB live, 31.6MiB allocated
Counts
43 → 3
Calls
Call 1
Inputs
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(approx (+ (* (* y y) -1/6) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 y y)))))
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(/.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(/.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ y (sin y)) #s(approx (+ (* (+ (* 7/360 (* y y)) 1/6) (* y y)) 1) (*.f64 (*.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) y))))
(/.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ y (sin y)) (fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(/.f64 (/.f64 #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) (neg.f64 y)) #s(approx (/ -1 (sin y)) (/.f64 #s(literal -1 binary64) y)))
(/.f64 (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (neg.f64 y)) #s(approx (/ -1 (sin y)) (/.f64 #s(literal -1 binary64) y)))
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(/.f64 (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (neg.f64 y)) #s(approx (/ -1 (sin y)) (fma.f64 y #s(literal -1/6 binary64) (/.f64 #s(literal -1 binary64) y))))
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
#s(approx (* (cosh x) (/ (sin y) y)) (/.f64 (sin.f64 y) y))
#s(approx (/ (cosh x) (/ y (sin y))) (/.f64 (sin.f64 y) y))
#s(approx (/ (/ (cosh x) (neg y)) (/ -1 (sin y))) (/.f64 (sin.f64 y) y))
(*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 y y)))))
(*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) y) (sin.f64 y))
(*.f64 (/.f64 #s(approx (cosh x) #s(approx (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) #s(literal 1 binary64))) y) (sin.f64 y))
(/.f64 #s(approx (cosh x) #s(literal 1 binary64)) (/.f64 y (sin.f64 y)))
(*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) (/.f64 (sin.f64 y) y))
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y))
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) y) (sin.f64 y))
(/.f64 #s(approx (cosh x) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) (neg.f64 y)))
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y))
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) y) (sin.f64 y))
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) y) (sin.f64 y))
(/.f64 (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (neg.f64 y)) (/.f64 #s(literal -1 binary64) (sin.f64 y)))
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64))) y) (sin.f64 y))
Outputs
(*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 y y)))))
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y))
(*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
Calls

1 calls:

13.0ms
(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
Results
AccuracySegmentsBranch
99.3%3(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
Compiler

Compiled 7 to 6 computations (14.3% saved)

regimes13.0ms (0.1%)

Memory
-6.4MiB live, 32.5MiB allocated
Counts
38 → 3
Calls
Call 1
Inputs
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(approx (+ (* (* y y) -1/6) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 y y)))))
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(/.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(/.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ y (sin y)) #s(approx (+ (* (+ (* 7/360 (* y y)) 1/6) (* y y)) 1) (*.f64 (*.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) y))))
(/.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ y (sin y)) (fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(/.f64 (/.f64 #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) (neg.f64 y)) #s(approx (/ -1 (sin y)) (/.f64 #s(literal -1 binary64) y)))
(/.f64 (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (neg.f64 y)) #s(approx (/ -1 (sin y)) (/.f64 #s(literal -1 binary64) y)))
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(/.f64 (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (neg.f64 y)) #s(approx (/ -1 (sin y)) (fma.f64 y #s(literal -1/6 binary64) (/.f64 #s(literal -1 binary64) y))))
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
#s(approx (* (cosh x) (/ (sin y) y)) (/.f64 (sin.f64 y) y))
#s(approx (/ (cosh x) (/ y (sin y))) (/.f64 (sin.f64 y) y))
#s(approx (/ (/ (cosh x) (neg y)) (/ -1 (sin y))) (/.f64 (sin.f64 y) y))
(*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 y y)))))
(*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) y) (sin.f64 y))
(*.f64 (/.f64 #s(approx (cosh x) #s(approx (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) #s(literal 1 binary64))) y) (sin.f64 y))
(/.f64 #s(approx (cosh x) #s(literal 1 binary64)) (/.f64 y (sin.f64 y)))
(*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) (/.f64 (sin.f64 y) y))
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y))
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) y) (sin.f64 y))
(/.f64 #s(approx (cosh x) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) (neg.f64 y)))
Outputs
(*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 y y)))))
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y))
(*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
Calls

1 calls:

11.0ms
(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
Results
AccuracySegmentsBranch
99.0%3(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
Compiler

Compiled 7 to 6 computations (14.3% saved)

regimes11.0ms (0.1%)

Memory
-2.8MiB live, 36.3MiB allocated
Counts
35 → 3
Calls
Call 1
Inputs
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(approx (+ (* (* y y) -1/6) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 y y)))))
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(/.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(/.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ y (sin y)) #s(approx (+ (* (+ (* 7/360 (* y y)) 1/6) (* y y)) 1) (*.f64 (*.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) y))))
(/.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ y (sin y)) (fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(/.f64 (/.f64 #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) (neg.f64 y)) #s(approx (/ -1 (sin y)) (/.f64 #s(literal -1 binary64) y)))
(/.f64 (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (neg.f64 y)) #s(approx (/ -1 (sin y)) (/.f64 #s(literal -1 binary64) y)))
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(/.f64 (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (neg.f64 y)) #s(approx (/ -1 (sin y)) (fma.f64 y #s(literal -1/6 binary64) (/.f64 #s(literal -1 binary64) y))))
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
#s(approx (* (cosh x) (/ (sin y) y)) (/.f64 (sin.f64 y) y))
#s(approx (/ (cosh x) (/ y (sin y))) (/.f64 (sin.f64 y) y))
#s(approx (/ (/ (cosh x) (neg y)) (/ -1 (sin y))) (/.f64 (sin.f64 y) y))
(*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 y y)))))
(*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) y) (sin.f64 y))
(*.f64 (/.f64 #s(approx (cosh x) #s(approx (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) #s(literal 1 binary64))) y) (sin.f64 y))
(/.f64 #s(approx (cosh x) #s(literal 1 binary64)) (/.f64 y (sin.f64 y)))
(*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) (/.f64 (sin.f64 y) y))
Outputs
(*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 y y)))))
#s(approx (* (cosh x) (/ (sin y) y)) (/.f64 (sin.f64 y) y))
(*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
Calls

1 calls:

10.0ms
(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
Results
AccuracySegmentsBranch
98.6%3(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
Compiler

Compiled 7 to 6 computations (14.3% saved)

regimes9.0ms (0.1%)

Memory
27.0MiB live, 27.0MiB allocated
Counts
29 → 3
Calls
Call 1
Inputs
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(approx (+ (* (* y y) -1/6) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 y y)))))
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(/.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(/.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ y (sin y)) #s(approx (+ (* (+ (* 7/360 (* y y)) 1/6) (* y y)) 1) (*.f64 (*.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) y))))
(/.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ y (sin y)) (fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(/.f64 (/.f64 #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) (neg.f64 y)) #s(approx (/ -1 (sin y)) (/.f64 #s(literal -1 binary64) y)))
(/.f64 (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (neg.f64 y)) #s(approx (/ -1 (sin y)) (/.f64 #s(literal -1 binary64) y)))
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(/.f64 (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (neg.f64 y)) #s(approx (/ -1 (sin y)) (fma.f64 y #s(literal -1/6 binary64) (/.f64 #s(literal -1 binary64) y))))
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
#s(approx (* (cosh x) (/ (sin y) y)) (/.f64 (sin.f64 y) y))
#s(approx (/ (cosh x) (/ y (sin y))) (/.f64 (sin.f64 y) y))
#s(approx (/ (/ (cosh x) (neg y)) (/ -1 (sin y))) (/.f64 (sin.f64 y) y))
Outputs
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
#s(approx (* (cosh x) (/ (sin y) y)) (/.f64 (sin.f64 y) y))
(*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
Calls

1 calls:

7.0ms
(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
Results
AccuracySegmentsBranch
98.2%3(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
Compiler

Compiled 7 to 6 computations (14.3% saved)

regimes60.0ms (0.6%)

Memory
-22.1MiB live, 64.7MiB allocated
Counts
26 → 2
Calls
Call 1
Inputs
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(approx (+ (* (* y y) -1/6) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 y y)))))
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(/.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(/.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ y (sin y)) #s(approx (+ (* (+ (* 7/360 (* y y)) 1/6) (* y y)) 1) (*.f64 (*.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) y))))
(/.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ y (sin y)) (fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(/.f64 (/.f64 #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) (neg.f64 y)) #s(approx (/ -1 (sin y)) (/.f64 #s(literal -1 binary64) y)))
(/.f64 (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (neg.f64 y)) #s(approx (/ -1 (sin y)) (/.f64 #s(literal -1 binary64) y)))
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(/.f64 (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (neg.f64 y)) #s(approx (/ -1 (sin y)) (fma.f64 y #s(literal -1/6 binary64) (/.f64 #s(literal -1 binary64) y))))
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
Outputs
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
Calls

5 calls:

27.0ms
(/.f64 (sin.f64 y) y)
9.0ms
(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
8.0ms
y
8.0ms
x
6.0ms
(cosh.f64 x)
Results
AccuracySegmentsBranch
67.4%2y
77.8%2(/.f64 (sin.f64 y) y)
65.0%1(cosh.f64 x)
65.0%1x
77.9%2(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
Compiler

Compiled 15 to 17 computations (-13.3% saved)

regimes52.0ms (0.5%)

Memory
-4.6MiB live, 33.9MiB allocated
Counts
25 → 2
Calls
Call 1
Inputs
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(approx (+ (* (* y y) -1/6) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 y y)))))
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(/.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(/.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ y (sin y)) #s(approx (+ (* (+ (* 7/360 (* y y)) 1/6) (* y y)) 1) (*.f64 (*.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) y))))
(/.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ y (sin y)) (fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(/.f64 (/.f64 #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) (neg.f64 y)) #s(approx (/ -1 (sin y)) (/.f64 #s(literal -1 binary64) y)))
(/.f64 (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (neg.f64 y)) #s(approx (/ -1 (sin y)) (/.f64 #s(literal -1 binary64) y)))
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(/.f64 (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (neg.f64 y)) #s(approx (/ -1 (sin y)) (fma.f64 y #s(literal -1/6 binary64) (/.f64 #s(literal -1 binary64) y))))
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
Outputs
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
Calls

2 calls:

44.0ms
(/.f64 (sin.f64 y) y)
6.0ms
(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
Results
AccuracySegmentsBranch
72.8%2(/.f64 (sin.f64 y) y)
72.8%2(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
Compiler

Compiled 11 to 10 computations (9.1% saved)

regimes85.0ms (0.9%)

Memory
-2.2MiB live, 35.5MiB allocated
Counts
24 → 2
Calls
Call 1
Inputs
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(approx (+ (* (* y y) -1/6) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 y y)))))
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(/.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(/.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ y (sin y)) #s(approx (+ (* (+ (* 7/360 (* y y)) 1/6) (* y y)) 1) (*.f64 (*.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) y))))
(/.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ y (sin y)) (fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(/.f64 (/.f64 #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) (neg.f64 y)) #s(approx (/ -1 (sin y)) (/.f64 #s(literal -1 binary64) y)))
(/.f64 (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (neg.f64 y)) #s(approx (/ -1 (sin y)) (/.f64 #s(literal -1 binary64) y)))
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(/.f64 (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (neg.f64 y)) #s(approx (/ -1 (sin y)) (fma.f64 y #s(literal -1/6 binary64) (/.f64 #s(literal -1 binary64) y))))
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
Outputs
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
Calls

2 calls:

76.0ms
(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
7.0ms
(/.f64 (sin.f64 y) y)
Results
AccuracySegmentsBranch
72.8%2(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
72.8%2(/.f64 (sin.f64 y) y)
Compiler

Compiled 11 to 10 computations (9.1% saved)

regimes79.0ms (0.8%)

Memory
-11.4MiB live, 31.1MiB allocated
Counts
23 → 2
Calls
Call 1
Inputs
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(approx (+ (* (* y y) -1/6) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 y y)))))
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(/.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(/.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ y (sin y)) #s(approx (+ (* (+ (* 7/360 (* y y)) 1/6) (* y y)) 1) (*.f64 (*.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) y))))
(/.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ y (sin y)) (fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(/.f64 (/.f64 #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) (neg.f64 y)) #s(approx (/ -1 (sin y)) (/.f64 #s(literal -1 binary64) y)))
(/.f64 (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (neg.f64 y)) #s(approx (/ -1 (sin y)) (/.f64 #s(literal -1 binary64) y)))
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(/.f64 (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (neg.f64 y)) #s(approx (/ -1 (sin y)) (fma.f64 y #s(literal -1/6 binary64) (/.f64 #s(literal -1 binary64) y))))
Outputs
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
Calls

2 calls:

7.0ms
(/.f64 (sin.f64 y) y)
6.0ms
(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
Results
AccuracySegmentsBranch
71.3%2(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
71.2%2(/.f64 (sin.f64 y) y)
Compiler

Compiled 11 to 10 computations (9.1% saved)

regimes13.0ms (0.1%)

Memory
26.7MiB live, 26.7MiB allocated
Counts
21 → 2
Calls
Call 1
Inputs
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(approx (+ (* (* y y) -1/6) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 y y)))))
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(/.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(/.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ y (sin y)) #s(approx (+ (* (+ (* 7/360 (* y y)) 1/6) (* y y)) 1) (*.f64 (*.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) y))))
(/.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ y (sin y)) (fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(/.f64 (/.f64 #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) (neg.f64 y)) #s(approx (/ -1 (sin y)) (/.f64 #s(literal -1 binary64) y)))
(/.f64 (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (neg.f64 y)) #s(approx (/ -1 (sin y)) (/.f64 #s(literal -1 binary64) y)))
Outputs
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
Calls

2 calls:

6.0ms
(/.f64 (sin.f64 y) y)
6.0ms
(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
Results
AccuracySegmentsBranch
70.5%2(/.f64 (sin.f64 y) y)
70.6%2(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
Compiler

Compiled 11 to 10 computations (9.1% saved)

regimes78.0ms (0.8%)

Memory
-10.9MiB live, 28.6MiB allocated
Counts
13 → 3
Calls
Call 1
Inputs
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(approx (+ (* (* y y) -1/6) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 y y)))))
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(/.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(/.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ y (sin y)) #s(approx (+ (* (+ (* 7/360 (* y y)) 1/6) (* y y)) 1) (*.f64 (*.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) y))))
(/.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ y (sin y)) (fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
Outputs
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
Calls

3 calls:

69.0ms
(/.f64 (sin.f64 y) y)
4.0ms
y
4.0ms
(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
Results
AccuracySegmentsBranch
59.3%2y
69.0%3(/.f64 (sin.f64 y) y)
67.3%2(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
Compiler

Compiled 12 to 12 computations (0% saved)

regimes94.0ms (1%)

Memory
-11.5MiB live, 28.3MiB allocated
Counts
9 → 3
Calls
Call 1
Inputs
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(approx (+ (* (* y y) -1/6) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 y y)))))
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(/.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))))
Outputs
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
Calls

4 calls:

84.0ms
x
3.0ms
(/.f64 (sin.f64 y) y)
3.0ms
(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
3.0ms
(cosh.f64 x)
Results
AccuracySegmentsBranch
51.2%1x
51.2%1(cosh.f64 x)
56.6%2(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
61.5%3(/.f64 (sin.f64 y) y)
Compiler

Compiled 14 to 15 computations (-7.1% saved)

regimes10.0ms (0.1%)

Memory
20.3MiB live, 20.3MiB allocated
Counts
7 → 3
Calls
Call 1
Inputs
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(approx (+ (* (* y y) -1/6) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 y y)))))
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(/.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
Outputs
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(approx (+ (* (* y y) -1/6) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 y y)))))
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
Calls

3 calls:

3.0ms
y
3.0ms
(/.f64 (sin.f64 y) y)
3.0ms
(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
Results
AccuracySegmentsBranch
51.8%2(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
51.2%3y
56.8%3(/.f64 (sin.f64 y) y)
Compiler

Compiled 12 to 12 computations (0% saved)

regimes87.0ms (0.9%)

Memory
-13.4MiB live, 25.7MiB allocated
Counts
6 → 2
Calls
Call 1
Inputs
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(approx (+ (* (* y y) -1/6) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 y y)))))
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(/.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
Outputs
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(approx (+ (* (* y y) -1/6) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 y y)))))
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
Calls

4 calls:

79.0ms
x
3.0ms
(/.f64 (sin.f64 y) y)
2.0ms
(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
2.0ms
(cosh.f64 x)
Results
AccuracySegmentsBranch
51.8%2(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
48.0%2x
44.3%1(cosh.f64 x)
51.7%2(/.f64 (sin.f64 y) y)
Compiler

Compiled 14 to 15 computations (-7.1% saved)

regimes10.0ms (0.1%)

Memory
26.2MiB live, 26.2MiB allocated
Counts
4 → 1
Calls
Call 1
Inputs
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(approx (+ (* (* y y) -1/6) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 y y)))))
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))))
Outputs
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64))))
Calls

5 calls:

2.0ms
y
2.0ms
x
2.0ms
(/.f64 (sin.f64 y) y)
2.0ms
(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
2.0ms
(cosh.f64 x)
Results
AccuracySegmentsBranch
34.8%1(cosh.f64 x)
34.8%1x
34.8%1y
34.8%1(/.f64 (sin.f64 y) y)
34.8%1(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
Compiler

Compiled 15 to 17 computations (-13.3% saved)

regimes16.0ms (0.2%)

Memory
-21.6MiB live, 19.4MiB allocated
Counts
2 → 2
Calls
Call 1
Inputs
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(approx (+ (* (* y y) -1/6) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 y y)))))
Outputs
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(approx (+ (* (* y y) -1/6) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 y y)))))
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
Calls

5 calls:

10.0ms
(/.f64 (sin.f64 y) y)
2.0ms
x
2.0ms
y
1.0ms
(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
1.0ms
(cosh.f64 x)
Results
AccuracySegmentsBranch
34.7%2y
34.5%2(cosh.f64 x)
35.4%2(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
34.5%2x
35.3%2(/.f64 (sin.f64 y) y)
Compiler

Compiled 15 to 17 computations (-13.3% saved)

regimes7.0ms (0.1%)

Memory
18.1MiB live, 18.1MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
Outputs
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
Calls

5 calls:

1.0ms
x
1.0ms
(/.f64 (sin.f64 y) y)
1.0ms
y
1.0ms
(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
1.0ms
(cosh.f64 x)
Results
AccuracySegmentsBranch
28.0%1(cosh.f64 x)
28.0%1x
28.0%1y
28.0%1(/.f64 (sin.f64 y) y)
28.0%1(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
Compiler

Compiled 15 to 17 computations (-13.3% saved)

bsearch1.0ms (0%)

Memory
2.0MiB live, 2.0MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.9999999995170634
1.0
0.0ms
-inf
-1.1716793728409474e-22
Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch1.0ms (0%)

Memory
1.5MiB live, 1.5MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.9999999995170634
1.0
0.0ms
-inf
-1.1716793728409474e-22
Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch1.0ms (0%)

Memory
1.6MiB live, 1.6MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.9999999995170634
1.0
0.0ms
-inf
-1.1716793728409474e-22
Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch7.0ms (0.1%)

Memory
-37.9MiB live, 1.7MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.9999999995170634
1.0
0.0ms
-inf
-1.1716793728409474e-22
Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch1.0ms (0%)

Memory
2.1MiB live, 2.1MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.9999999995170634
1.0
0.0ms
-inf
-1.1716793728409474e-22
Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch0.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-2.7540733048324324e-154
-2.223520065397386e-175
Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch0.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-2.4592479829463465e-292
9.73249863489222e-303
Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-4.846072061758223e-293
9.73249863489222e-303
Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-2.7540733048324324e-154
-2.223520065397386e-175
Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch0.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-2.7540733048324324e-154
-2.223520065397386e-175
Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch1.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.3384668127727358e-146
1.2760748220336712e-142
0.0ms
-4.846072061758223e-293
9.73249863489222e-303
Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch1.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
3.5281147403288545e-89
4.19062344392725e-87
0.0ms
-4.846072061758223e-293
9.73249863489222e-303
Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch1.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
3.5281147403288545e-89
4.19062344392725e-87
0.0ms
-4.846072061758223e-293
9.73249863489222e-303
Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-2.7540733048324324e-154
-2.223520065397386e-175
Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch0.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-2.7540733048324324e-154
-2.223520065397386e-175
Compiler

Compiled 10 to 11 computations (-10% saved)

simplify94.0ms (1%)

Memory
-7.8MiB live, 70.9MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01141072
11381072
Stop Event
saturated
Calls
Call 1
Inputs
(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
(if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #s(literal -inf.0 binary64)) (*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 y y))))) (if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #s(literal 4503599625195543/4503599627370496 binary64)) (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y)) (*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) #s(literal 1 binary64)))))
(if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #s(literal -inf.0 binary64)) (*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 y y))))) (if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #s(literal 4503599625195543/4503599627370496 binary64)) (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y)) (*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) #s(literal 1 binary64)))))
(if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #s(literal -inf.0 binary64)) (*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 y y))))) (if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #s(literal 4503599625195543/4503599627370496 binary64)) (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y)) (*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) #s(literal 1 binary64)))))
(if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #s(literal -inf.0 binary64)) (*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 y y))))) (if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #s(literal 4503599625195543/4503599627370496 binary64)) #s(approx (* (cosh x) (/ (sin y) y)) (/.f64 (sin.f64 y) y)) (*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) #s(literal 1 binary64)))))
(if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #s(literal -inf.0 binary64)) (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) (if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #s(literal 4503599625195543/4503599627370496 binary64)) #s(approx (* (cosh x) (/ (sin y) y)) (/.f64 (sin.f64 y) y)) (*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) #s(literal 1 binary64)))))
(if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #s(literal -3019169939857233/15095849699286165408966218323953075563667684881665761713504825200982496649568595408344506900710635070165873500123055379599082338519699170530245737005730784174597581307904 binary64)) (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) (*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) #s(literal 1 binary64))))
(if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #s(literal -2247116418577895/11235582092889474423308157442431404585112356118389416079589380072358292237843810195794279832650471001320007117491962084853674360550901038905802964414967132773610493339054092829768888725077880882465817684505312860552384417646403930092119569408801702322709406917786643639996702871154982269052209770601514008576 binary64)) (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))))
(if (<=.f64 (/.f64 (sin.f64 y) y) #s(literal -449423283715579/11235582092889474423308157442431404585112356118389416079589380072358292237843810195794279832650471001320007117491962084853674360550901038905802964414967132773610493339054092829768888725077880882465817684505312860552384417646403930092119569408801702322709406917786643639996702871154982269052209770601514008576 binary64)) (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))))
(if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #s(literal -3019169939857233/15095849699286165408966218323953075563667684881665761713504825200982496649568595408344506900710635070165873500123055379599082338519699170530245737005730784174597581307904 binary64)) (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) (*.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))))
(if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #s(literal -3019169939857233/15095849699286165408966218323953075563667684881665761713504825200982496649568595408344506900710635070165873500123055379599082338519699170530245737005730784174597581307904 binary64)) (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) (*.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))))
(if (<=.f64 (/.f64 (sin.f64 y) y) #s(literal -449423283715579/11235582092889474423308157442431404585112356118389416079589380072358292237843810195794279832650471001320007117491962084853674360550901038905802964414967132773610493339054092829768888725077880882465817684505312860552384417646403930092119569408801702322709406917786643639996702871154982269052209770601514008576 binary64)) (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) (if (<=.f64 (/.f64 (sin.f64 y) y) #s(literal 8997827589086393/449891379454319638281053850768598185886969711830191663310075557261183758067148787031904068610389085714992091063352089512320826605549429968900851518086516385513472 binary64)) (*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))))
(if (<=.f64 (/.f64 (sin.f64 y) y) #s(literal -449423283715579/11235582092889474423308157442431404585112356118389416079589380072358292237843810195794279832650471001320007117491962084853674360550901038905802964414967132773610493339054092829768888725077880882465817684505312860552384417646403930092119569408801702322709406917786643639996702871154982269052209770601514008576 binary64)) (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) (if (<=.f64 (/.f64 (sin.f64 y) y) #s(literal 7167183174968973/143343663499379469475676305956380433799785311823017570233599302461682679755530300504376159569382855409664 binary64)) (*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))))
(if (<=.f64 (/.f64 (sin.f64 y) y) #s(literal -449423283715579/11235582092889474423308157442431404585112356118389416079589380072358292237843810195794279832650471001320007117491962084853674360550901038905802964414967132773610493339054092829768888725077880882465817684505312860552384417646403930092119569408801702322709406917786643639996702871154982269052209770601514008576 binary64)) (*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(approx (+ (* (* y y) -1/6) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 y y))))) (if (<=.f64 (/.f64 (sin.f64 y) y) #s(literal 7167183174968973/143343663499379469475676305956380433799785311823017570233599302461682679755530300504376159569382855409664 binary64)) (*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))))
(if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #s(literal -3019169939857233/15095849699286165408966218323953075563667684881665761713504825200982496649568595408344506900710635070165873500123055379599082338519699170530245737005730784174597581307904 binary64)) (*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(approx (+ (* (* y y) -1/6) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 y y))))) (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64))))
(if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #s(literal -3019169939857233/15095849699286165408966218323953075563667684881665761713504825200982496649568595408344506900710635070165873500123055379599082338519699170530245737005730784174597581307904 binary64)) (*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(approx (+ (* (* y y) -1/6) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 y y))))) (*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(literal 1 binary64)))
Outputs
(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
(*.f64 (/.f64 (sin.f64 y) y) (cosh.f64 x))
(if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #s(literal -inf.0 binary64)) (*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 y y))))) (if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #s(literal 4503599625195543/4503599627370496 binary64)) (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y)) (*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) #s(literal 1 binary64)))))
(if (<=.f64 (*.f64 (/.f64 (sin.f64 y) y) (cosh.f64 x)) #s(literal -inf.0 binary64)) (*.f64 #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64)))) (cosh.f64 x)) (if (<=.f64 (*.f64 (/.f64 (sin.f64 y) y) (cosh.f64 x)) #s(literal 4503599625195543/4503599627370496 binary64)) (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y)) (*.f64 #s(approx (/ (sin y) y) #s(literal 1 binary64)) (cosh.f64 x))))
(if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #s(literal -inf.0 binary64)) (*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 y y))))) (if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #s(literal 4503599625195543/4503599627370496 binary64)) (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y)) (*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) #s(literal 1 binary64)))))
(if (<=.f64 (*.f64 (/.f64 (sin.f64 y) y) (cosh.f64 x)) #s(literal -inf.0 binary64)) (*.f64 #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64)))) (cosh.f64 x)) (if (<=.f64 (*.f64 (/.f64 (sin.f64 y) y) (cosh.f64 x)) #s(literal 4503599625195543/4503599627370496 binary64)) (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y)) (*.f64 #s(approx (/ (sin y) y) #s(literal 1 binary64)) (cosh.f64 x))))
(if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #s(literal -inf.0 binary64)) (*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 y y))))) (if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #s(literal 4503599625195543/4503599627370496 binary64)) (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y)) (*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) #s(literal 1 binary64)))))
(if (<=.f64 (*.f64 (/.f64 (sin.f64 y) y) (cosh.f64 x)) #s(literal -inf.0 binary64)) (*.f64 #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64)))) (cosh.f64 x)) (if (<=.f64 (*.f64 (/.f64 (sin.f64 y) y) (cosh.f64 x)) #s(literal 4503599625195543/4503599627370496 binary64)) (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y)) (*.f64 #s(approx (/ (sin y) y) #s(literal 1 binary64)) (cosh.f64 x))))
(if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #s(literal -inf.0 binary64)) (*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 y y))))) (if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #s(literal 4503599625195543/4503599627370496 binary64)) #s(approx (* (cosh x) (/ (sin y) y)) (/.f64 (sin.f64 y) y)) (*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) #s(literal 1 binary64)))))
(if (<=.f64 (*.f64 (/.f64 (sin.f64 y) y) (cosh.f64 x)) #s(literal -inf.0 binary64)) (*.f64 #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64)))) (cosh.f64 x)) (if (<=.f64 (*.f64 (/.f64 (sin.f64 y) y) (cosh.f64 x)) #s(literal 4503599625195543/4503599627370496 binary64)) #s(approx (* (cosh x) (/ (sin y) y)) (/.f64 (sin.f64 y) y)) (*.f64 #s(approx (/ (sin y) y) #s(literal 1 binary64)) (cosh.f64 x))))
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(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64))))
(*.f64 #s(approx (/ (sin y) y) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64))) #s(approx (cosh x) #s(literal 1 binary64)))
(if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #s(literal -3019169939857233/15095849699286165408966218323953075563667684881665761713504825200982496649568595408344506900710635070165873500123055379599082338519699170530245737005730784174597581307904 binary64)) (*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(approx (+ (* (* y y) -1/6) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 y y))))) (*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(literal 1 binary64))))
(if (<=.f64 (*.f64 (/.f64 (sin.f64 y) y) (cosh.f64 x)) #s(literal -3019169939857233/15095849699286165408966218323953075563667684881665761713504825200982496649568595408344506900710635070165873500123055379599082338519699170530245737005730784174597581307904 binary64)) (*.f64 #s(approx (/ (sin y) y) #s(approx (+ (* (* y y) -1/6) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64)))) #s(approx (cosh x) #s(literal 1 binary64))) (*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(literal 1 binary64)))

soundness2.0s (20.8%)

Memory
23.0MiB live, 1 303.8MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01843932
15463812
216733700
346353593
082143403
02033611
16443481
221703347
351243312
474453312
081443179
083638
1268614
2941588
33141569
08072539
043271
074271
1269271
21555271
08349271
01803575
15333455
216103335
351043230
084023070
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 1 607 to 766 computations (52.3% saved)

preprocess483.0ms (5.1%)

Memory
12.8MiB live, 250.0MiB allocated
Remove

(abs x)

(abs y)

Compiler

Compiled 1 686 to 296 computations (82.4% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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